Questions tagged [newtonian-mechanics]

Newtonian mechanics covers the discussion of the movement of classical bodies under the influence of forces by making use of Newton’s three laws. For more general discussion of energy, momentum conservation etc., use classical-mechanics, for Newton’s description of gravity, use newtonian-gravity.

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For wave functions $y(x, t)$, how the second order partial differentiation works as second order absolute differentiation?

Ref: http://www.animations.physics.unsw.edu.au/jw/wave_equation_speed.htm As far as we've defined wave as the disturbance caused due to Force obeying Hooke's Law. So, the derivation was started with ...
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Force and tension in a pulley

So imagine a pulley (frictionless) with a massless string. On each side are 2 weights 1 of 10 g and 1 of 20g. In the free body force diagrams for the 2nd body we say that $m(g+a)= t$ But shouldn't ...
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28 views

Why is force invariant under a Galilean transformation? [duplicate]

I've had a look around online, but I haven't been able to find something which answers this in a way I understand. Essentially, I'm trying to figure out why force is invariant under a Galilean ...
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Statics - Equilibrium of Rigid Bodies Worksheet Question

I have a standard worksheet problem involving free body diagrams and equilibrium of a rigid body. I need to calculate the reactions at A and B for the simply supported frame in the image below. I've ...
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2answers
60 views

Potential for a general fictitious force?

In a general non inertial system four fictitious forces arise: Coriolis Force, centrifugal Force, azimuthal Force, "translational" Force (due to linear acceleration of the origin of the system) I ...
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How to determine the direction of components of force while solving the problems related to hinge force?

There are two different directions of horizontal force in two different situations. Why?
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Doppler effect with two moving resonators

Sound source with frequency $\mathcal{V}_0$ is located between two moving resonators set to wavelengths of $ \lambda_1$ and $\lambda_2$, respectively. Determine speed ratio of the two resonators $\...
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Exhaustion of a gas Pressure Tank

Gas tank of the volume $V$ is exhausted with the axial piston pump. It pumps $\Delta V$ of volume per one working cycle. After how many cycles does the pressure in the gas tank reduce by $K$ times? ...
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Minimum calculus for Lagrangian Mechanics [on hold]

I have noticed in my classical mechanical books, the development of the motions of equation for simple systems using the Lagrangian that the main complication, if doing the work by hand, is applying ...
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The origin of normal reaction

I want to know what actually is the origin of normal reaction between 2 objects. i have read about normal reaction from several books which generally mention it as a component of contact force which ...
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1answer
64 views

Kinematics problem, only energy related approach [on hold]

I read this question: From the top of a tower, a stone is thrown up and it reaches the ground in time $t_1$. A second stone is thrown down with same speed and it reaches the ground in time $t_2$. A ...
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1answer
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Distance between two drops

2 drops are thrown away simultaneously in $t=0$, with initial velocity of $v_i$ and in angle of $\theta_i$ in opposite directions as seen in the picture. What is the distance between them as a ...
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A Chain in Equilibrium

My By book says that, for equilibrium Limiting Friction$(f_L)$$=$Weight of hanging chain. But Why??
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Tension due to unequal forces on a massless spring [duplicate]

When a massless spring is pulled by 5N on both sides the tension in the spring is 5N (proved by considering COM at rest and breaking the spring into two springs of 2k each)...what if the forces ...
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Is the net force on atomic/molecular constituents of a solid body zero

So my question is this that suppose we consider a solid everyday object, say a spherical stone. Now, if I consider an atom or a molecule of the stone away from the center of the stone, then I can say ...
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How to solve a general planet orbit differential equation? [on hold]

According to Newton's gravitation law, the following differential equation can be made $$\frac{d^{2}}{d t^{2}} \mathbf{x}{\left(t \right)} = - \frac{G M }{\left|{\mathbf{x}{\left(t \right)}}\right|^{...
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Can Newton's laws be reformulated with reference to “relative” frames

I was reading: https://arxiv.org/abs/1205.2326 page 2 which gives thorough discussion of the three laws. In particular there is a refutation of the (paraphrased) 2nd law implies the first because ...
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51 views

Centre of mass of a solid cone using a symmetrical method [duplicate]

When we rotate a right angled triangle about its perpendicular we get a solid cone. For a right-angled triangle the centre of mass is at its centroid i.e., at $(\frac h3, \frac b3)$. If we consider a ...
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How to determine the direction of acceleration for block A and man? [on hold]

My confusion is how to determine the direction of acceleration of block and man. I know that in the same direction. acceleration of Man wrt rope/block will be Acceleration of Man minus Acceleration ...
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Determining whether I hit the bed when jumping from a cliff [on hold]

For simplicity, assume a perfectly spherical object with uniform density falling from some height to a lake. How can I determine whether I hit the bed of the lake? Maybe this has something to do with ...
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3answers
177 views

Total force on upper block in two block system

If a block $m$ is placed on another block $M$ and a force $F$ is applied on bolck $M$. Then how many forces are acting on block $m$.(Friction is non zero) The image is taken from this site. Is ...
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1answer
42 views

Inverted pendulum, EOM

Consider the inverted pendulum shown below: where $F$ is an external force, $B$ is the CoM of the rod, $A$ is the position of the joint where the rod attaches to the car. Angles increase in the ...
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What do the terms “Frame specific work” and “Frame dependent work” mean? [on hold]

I was reading a paper published in A.J.Phy. American Journal of Physics 60, 356 (1992)[All About Work] by A. John Mallinckrodt and Harvey S. Leiff There I found this two terms but when tried to ...
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How to find force from given torque and distance?

Let us assume that the rectangular board shown has a torque T at its centre of mass, due to which it is undergoing angular acceleration in clockwise direction. Let d be the distance from the centre of ...
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2answers
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Can someone explain these circled points…?

Why is direction of friction in the direction of motion and here it is the platform that moves....the movement is not caused by friction so how is friction doing work? In the second one there is no ...
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1answer
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Is there a fixed orientation of center of mass axis about which all unconstrained rigid bodies rotate?

I just learned that an unconstrained rigid body always rotates about its center of mass. But there could be many axes that could pass through the center of mass. For example, let's consider a rod ...
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What will be the equation of the path of spider? [on hold]

A cobweb thread of negligible relaxed length is traced between points A and B on two opposite walls as shown in the figure. In this state the thread makes an angle $\theta$ with the horizontal and ...
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${}$ A tug of war with different forces at each end of the rope [duplicate]

In tug of wars usually both the teams apply equal force on the rope resulting in the development of tension in the rope which is of the same magnitude as that of the applied force. But, now if one ...
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Analysing a lift moving up with acceleration from the inertial frame of the ground

A frictionless inclined plane,making angle $ θ$ with the horizontal, of length $ L $ (inclined plane is a right-angled triangle, $ L$ is length of hypotenuse) is kept in a lift which is moving up with ...
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34 views

A tug of war with different forces at each end of the rope [on hold]

If a man pulls a rope with a force of 150N towards him and the other end of the rope is pulled by a small girl with a force of 50N towards her. Assuming rope to be massless. Find tension in the string....
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Impulse and force; hammer and nail

When a large force acts for a very large time, is it still considered to be impulsive? If we drop a nail of 1 kg onto the floor from a height of 1 m, does it pierce the floor?
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The reason behind circular motion of vehicles

In all the textbooks and internet resources that I've ever read , most of them explains role if friction in circular motion of an object (let's says a cycle), from the frame of the cyclist i.e. with ...
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Friction and Circular Motion

In circular motion, it is said that the friction acts towards the centre of the circular path. But friction opposes tendency of relative motion and since the velocity of the body(in circular motion) ...
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2answers
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Buoyant force of tides and conservation of energy [duplicate]

Imagine an electric power generator in a form of a floating object moving up and down and utilizing the buoyant force of sea tides. Can anyone explain how it doesn't violate the principle of ...
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How to figure out the distribution of Normal Force on a body?

I was solving a problem and came across some confusion regarding the point of application of Normal Force. In Classical Mechanics 101, we had always treated the Normal Force as acting on a point (...
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1answer
38 views

Isn't inertia experience by person in moving bus is Torque

When a bus moves suddenly, the person standing in it tilts backwards. This concept is explained using inertia (tendency of body to resist change in its state of motion) but when the bus moves suddenly,...
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2answers
76 views

Calculate escape velocity without using energy? [on hold]

Is it practically doable to calculate the escape velocity on the earth not by using the principle of energy conservation, but by calculating the velocity of the particle as a function of time using ...
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The problem was found in the book of mechanics by Kleppner and Kolenkow [closed]

If you start a coin rolling on a table with care, you can make it roll in a circle. The coin leans inward, with axis tilted. The radius of the coin is 'b' the radius of the circle it follows is R and ...
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Mechanical energy conservation

Is the mechanical energy conserved when the speed is constant? What if we have a charge that entered an electric field due to an external force -which is making a dynamic equilibrium with the ...
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26 views

Angular velocity in body frame [on hold]

I am reading about IMU and getting confused in term "angular velocity of body frame with respect to Inertial frame introduced in body frame". It is said in text it is measured by IMU. If someone ...
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Work and gravitational potential energy in taking a book in different definition of “system” [on hold]

Can some body calculate the work done by person A in moving the book to height $h$ from ground in following three definitions of the system, where initaiial and final velocities are zero: a) only ...
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1answer
41 views

Coriolis force versus other effects that deflect an objects falling on earth from its vertical path

I am studying accelerating reference frames and I have solved the famous problem of finding how the Coriolis force deflects the trajectory of a falling object on Earth, the answer being $$ x_{east} = ...
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gate 1996 (mech engg) problem number 2.6 solution steps [closed]

kindly discuss the problem 2.6 of GATE 1996 (Mechanical Engineering) exam (India). how to approach and what would be the steps. thanks in advance
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1answer
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Will arrow from traditional longbow will be dangerous if it is falling from above?

Let's imagine commonly seen in movies and video games "rain of arrows". Archers shoot up to hit enemies behind the obstacles, for example. As Brittanica states: “The best longbows were made of ...
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3answers
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On the Coriolis effect and weather

I learned in classical mechanics that the Coriolis Effect curves everything with speed to the right in the northern hemisphere and to the left in the southern hemisphere, my question is then why ...
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Tension. Forces [duplicate]

Suppose I pull molecule A of a rope then it also pulls me back by newtons 3rd law. The force that I applied on the rope caused tension in the string , but then what is the effect of the force which ...
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2answers
65 views

Will momentum be conserved in case of electrostatic force?

If a charged particle approached another particle of same charge held by some external force, then by coulomb's law the particle will start electrostatic repulsion. Thus coming to a closest distance ...
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Verify Conservation of energy for variable gravitational field [duplicate]

Remember we can verify conversation of energy in gravitational field when we take g to be constant When we leave body from H At a point h As potential energy is mgH -mgh Kinetic energy. ...
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1answer
69 views

Verify conservation of energy in gravitational field [closed]

Remember we can verify conversation of energy in gravitational field when we take $g$ to be constant When we leave body from $H$ At a point $h$ As potential energy is $mgH -mgh$ Kinetic energy $=mv^...
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26 views

How to solve the following problem of particle dynamics involving Hooke's law? [closed]

I cannot solve the problem below: A particle hangs at rest at the end of an elastic string whose unstretched length is $a$. In the position of equilibrium,the length of the string is $b$ and $2\pi/...