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12 problems tagged with rigid body dynamics
Intermediate
Mechanics › Rotational Motion
Intermediate
Mechanics › Rotational Motion
P0647
Intermediate Mechanics › Rotational MotionTorque on a System with Constant Acceleration
An electric motor drives a system with a moment of inertia $I = 50 \text{ kg} \cdot \text{m}^2$ in fixed-axis rotation. The system starts from rest and, with uniform acceleration, reaches a rotational speed of $f = 2 \text{ r/s}$ in $t = 0.5 \text{ s}$.
Find the torque exerted by the motor on the system.
rigid body dynamics
P0666
Intermediate Mechanics › Rotational MotionBall rolls down slope without slipping
A ball of radius $r$ and mass $m$ rolls down a slope with incline angle $\theta$ with slipping. The initial verticle height of the ball is $h$ from the bottom of the slope.
- Can this happen on the frictionless surface. If not what is minimum static friction coefficient? And what is the work done by the friction?
- What is the final speed $v$ of the ball, and how long does it take to get to the bottom? Solve it in two ways: kinemetics and energy conservation.
- Compare the final speed for a ball, ring and a disk.
rigid body dynamics
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