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edit approved Mar 16, 2021 at 6:05
kbakshi314
edit approved Mar 16, 2021 at 6:05
kbakshi314
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In 2D machines, why does higher pair joints deduct 1 D.O.F.degree of freedom?

I have been taught that higher pair joints (e.g. Gearsgears, cams, rollers) deduct 1 d.o.f. Duedegree of freedom due to the fact that they still allow 2two motions

  1. translation along the tangent surface

  2. rotation around the instantaneous Contact point

However, fromin my reasoningsreasoning, the higher pair does constrain 2 motions

  1. as it is non-slipping (like gears and rollers) it gives a relationship between the angle and the location (such as x=theta * r$x=\theta \cdot r$)

  2. as it rotates on a surface it gives a relationship between x and y that it household be on the surface (such as x = y+2$x = y+2$)

In 2D machines, why does higher pair joints deduct 1 D.O.F.?

I have been taught that higher pair joints (e.g. Gears, cams, rollers) deduct 1 d.o.f. Due to the fact that they still allow 2 motions

  1. translation along the tangent surface

  2. rotation around the instantaneous Contact point

However, from my reasonings, the higher pair does constrain 2 motions

  1. as it is non-slipping (like gears and rollers) it gives a relationship between the angle and the location (such as x=theta * r)

  2. as it rotates on a surface it gives a relationship between x and y that it household be on the surface (such as x = y+2)

In 2D machines, why does higher pair joints deduct 1 degree of freedom?

I have been taught that higher pair joints (e.g. gears, cams, rollers) deduct 1 degree of freedom due to the fact that they still allow two motions

  1. translation along the tangent surface

  2. rotation around the instantaneous Contact point

However, in my reasoning, the higher pair does constrain 2 motions

  1. as it is non-slipping (like gears and rollers) it gives a relationship between the angle and the location (such as $x=\theta \cdot r$)

  2. as it rotates on a surface it gives a relationship between x and y that it household be on the surface (such as $x = y+2$)

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Qmechanic ♦
Qmechanic ♦
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I have been taught that higher pair joints (e.g. Gears, cams, rollers) deduct 1 d.o.f. Due to the fact that they still allow 2 motions 1.) translation along the tangent surface 2.) rotation around the instantaneous Contact point

  1. translation along the tangent surface

  2. rotation around the instantaneous Contact point

However, from my reasonings, the higher pair does constrain 2 motions 1.) as it is non-slipping (like gears and rollers) it gives a relationship between the angle and the location (such as x=theta * r) 2.) as it rotates on a surface it gives a relationship between x and y that it household be on the surface (such as x = y+2)

Thank you for your answers

  1. as it is non-slipping (like gears and rollers) it gives a relationship between the angle and the location (such as x=theta * r)

  2. as it rotates on a surface it gives a relationship between x and y that it household be on the surface (such as x = y+2)

I have been taught that higher pair joints (e.g. Gears, cams, rollers) deduct 1 d.o.f. Due to the fact that they still allow 2 motions 1.) translation along the tangent surface 2.) rotation around the instantaneous Contact point

However, from my reasonings, the higher pair does constrain 2 motions 1.) as it is non-slipping (like gears and rollers) it gives a relationship between the angle and the location (such as x=theta * r) 2.) as it rotates on a surface it gives a relationship between x and y that it household be on the surface (such as x = y+2)

Thank you for your answers

I have been taught that higher pair joints (e.g. Gears, cams, rollers) deduct 1 d.o.f. Due to the fact that they still allow 2 motions

  1. translation along the tangent surface

  2. rotation around the instantaneous Contact point

However, from my reasonings, the higher pair does constrain 2 motions

  1. as it is non-slipping (like gears and rollers) it gives a relationship between the angle and the location (such as x=theta * r)

  2. as it rotates on a surface it gives a relationship between x and y that it household be on the surface (such as x = y+2)

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Derpson
Derpson
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In 2D machines, why does higher pair joints deduct 1 D.O.F.?

I have been taught that higher pair joints (e.g. Gears, cams, rollers) deduct 1 d.o.f. Due to the fact that they still allow 2 motions 1.) translation along the tangent surface 2.) rotation around the instantaneous Contact point

However, from my reasonings, the higher pair does constrain 2 motions 1.) as it is non-slipping (like gears and rollers) it gives a relationship between the angle and the location (such as x=theta * r) 2.) as it rotates on a surface it gives a relationship between x and y that it household be on the surface (such as x = y+2)

Thank you for your answers