Torque
The position of a particle moving on the -plane at time (in seconds) is given by the equation Considering the origin as the pivot, what is the magnitude of the torque on the particle at
A fixed pulley-like device is used to lift a box of mass as shown in figure above. The outer radius of the device is and the radius of the hub is When a constant horizontal force is applied to a rope wrapped around the outer rim of the device, the box hanging from a rope wrapped around the hub acquires an upward acceleration of magnitude Then what is the rotational inertia of the device about its axis of rotation?
The gravitational acceleration is
A particle moves clockwise in a circle around the origin on the -plane. If its angular momentum as a function of time (in seconds) is what is the magnitude of the torque on the particle at
A particle that moves on the -plane with velocity is at and It is being pulled by a force in the direction. Considering the origin as the pivot, what is the torque of the force?
A cubic dice is sliding on a frictionless table. The dice is a cube with edges of length 1 cm and a mass of 30 g. A kid reaches down and gives a horizontal flick to the dice, causing it to change which face is up. What is the minimum impulse in g~cm/s the kid must give to the dice in order to change the face?
Details and assumptions
- The acceleration of gravity is .
- You can model the dice as a perfect cube of uniform density.
- The dice never leave the table