The 0.2 kg ball ( ball is sliding not rotating) and the supporting cord are revolving about the vertical axis on the fixed smooth conical surface with an angular velocity of W = 4 radians/sec. The green ball is held in position b = .3 m by the tension T in the yellow cord.
If b is reduced to the constant value of 0.2 m by increasing T in the cord, compute the new angular velocity W and the work U, done on the system by T.

A particle of mass m is attached to the end of a light string of length l. The other end of the string is passed through a small hole and is slowly pulled through it. Gravity is negligible. The particle is originally spinning the round the hole with angularvelocity w. Find theangularvelocity when the string length has been re

A belt drives a pulley of radius 4.0 cm and negligible mass as shown.
The pulley is attached to a larger, solid wheel of mass 60 kg and radius 30 cm that is initially at rest. Thetension T1 in the belt is 150.0 N andthetension T2 is 50 N. What is the total, net torque on the pulley? What is the moment of inertia of the whe

The rigid body shown in this diagram is moving such that the velocities of points A and B are the same. The magnitude of thevelocity of point A is 25m/s andthe distance between points A and B is 10m.
Determine the magnitude of theangularvelocity of the rigid body.
Express your answer in rad/s and give you answer to 4

a) A body of mass m kg is attached to a point by string of length 1.25 m. If the mass is rotating in a horizontal circle 0.75 m below the point of attachment, calculate its angularvelocity.
b) If the mass rotates on a table, calculate the force on the table when the speed of rotation is 25 rpm andthe mass is 6 kg.

A variable torque is applied to a rotating wheel at t = 0 and causes the clockwise angular acceleration (alpha) to increase linearly with the clockwise angular displacement (theta) of the wheel during the next 30 revolutions.
when theta is 0, alpha is 10 rads/sec^2.
when theta is 30 revs, alpha is 20 rds/sec^2, andthe angul

(Please see the attachment for questions, complete with diagrams/figures)
2. If the 10-kg ball has a velocity of 3 m/s when it is at the position A, along the vertical path, determine thetension in the cord at this position andthe magnitude of acceleration of the ball at this position.
3. The 2-Mg car is being towed by

See attached file.
The double pulley below has a moment of inertia of 50 kgm2 and is initially at rest. The outside radius is 500 mm andthe inner radius is 250 mm.
a) Find theangular acceleration of the pulley.
b) Find theangularvelocity of the pulley after point A on the cord has moved 3.5 m.

At t=0, a wheel rotating about a fixed axis at a constant angular acceleration has an angularvelocity of 2 rad/s. Two seconds later it has turned 5 complete revolutions. What is theangular acceleration of this wheel?
==============================================
Answer:
a) 17 rad/s^2
b) 14 rad/s^2
c) 20 rad/s^2
d) 23 ra

A 1.10 m-long massless rod is pivoted at one end and swings around in a circle on a frictionless table. A block with a hole through the center can slide in and out along the rod. Initially, a small piece of wax holds the block 10.0 cm from the pivot. The block is spun at 50.0 rpm, then the temperature of the rod is slowly increa