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3 problems tagged with rigid body

Mechanics › Rotational Motion
Mechanics › Kinematics

P0320

Beginner Mechanics › Rotational Motion

Flywheel Angular Deceleration and Motion Analysis

The angular velocity of a flywheel uniformly decreases from 900 rev/min to 800 rev/min in 5 seconds.

  1. Find the angular acceleration β.
  2. Find the total number of revolutions during these 5 seconds.
  3. Find how many more seconds it will take for the wheel to stop rotating.
rigid body rotational motion

P0324

Intermediate Mechanics › Kinematics

Angle Between Acceleration and Velocity in Circular Motion

A particle moves along a circular orbit, starting from rest and undergoing uniformly accelerated circular motion. The angle between the particle's total acceleration vector and its velocity vector is denoted by $\alpha$. The central angle corresponding to the arc traversed by the particle is denoted by $\theta$.

Find the relationship between the angle $\alpha$ and the central angle $\theta$.
Circular Motion rigid body

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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