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2 problems tagged with rotational motion in Kinematics

P0340 Acceleration of Contact Point on Rolling Wheel
Advanced
Mechanics › Kinematics
P0331 Kinematics of a Point on a Purely Rolling Ring
Advanced
Mechanics › Kinematics

P0340

Advanced Mechanics › Kinematics

Acceleration of Contact Point on Rolling Wheel

As shown in Figure, a wheel with radius $r$ rolls without slipping on the outer surface of a fixed cylinder with radius $R$. The center of the wheel, O, moves with a constant speed $V$.

Find the acceleration of the contact point P on the wheel.
rotational motion rigid body
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P0331

Advanced Mechanics › Kinematics

Kinematics of a Point on a Purely Rolling Ring

A rigid ring with radius $R$ undergoes pure rolling on a rigid horizontal surface. The center of the ring moves forward horizontally with a constant velocity $v_0$. Consider a point P on the ring that is at the same height as the center.

  1. Find the instantaneous velocity of point P.
  2. Find the tangential acceleration of point P.
  3. Find the normal acceleration of point P.
relative motion Circular Motion rotational motion
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