11. Consider two objects whose position vectors are given by r1 and r2 and whose momenta are given by p1 = m1v1 and p2 = m2v2 respectively. Show that in the special case that the center of mass of the two bodies is at rest at the origin (that is P = p1 + p2 = 0, and the position of the center of mass is R = 0), the sum of the angular momenta of the two objects about the center of mass equals the angular momentum of a single object of mass mu = m1m2/(m1+m2), rotating in circular motion about the origin at a distance r = r2-r1. The quantity mu is called the reduced mass.

24. A Pulley system is used to lift a heavy mass. How much force must be applied to lift the object in the attached document aat a steady speed? Neglect friction at the axle.

5. A man of mass 95kg is dancing with his wife, who has a mass of 68kg. Assume that each person's mass is concentrated at their respective centers of mass, which are separated by 48cm.
a. What is the gravitational attraction between them?
b. Which person has the greater gravitational attraction toward the other?

Two blocks are attached to a rope and wrapped around a pulley as shown in the attachment. The pulley is a DISK of mass 20.0 kg and radius 3.00 meters. The pulleyand surface are frictionless and the system is released from the rest.
Find the tensions of the rope on either sides of the pulley.
Please refer to the attachmen

Task 3
For the pulley shown below, the tension T in the cable is 100N. First express each tension in Cartesian form and add these together to find the resultand force on the pulley shaft of diameter 12mm. Then express the resultant force in Polar form. Hence determine the shear stress in the pulley shaft. given that it is in do

A block of mass M2 = 4kg hangs from a rope that is wrapped around a frictionless pulleyand connected to another mass M1 = 2kg that is at rest on a frictionless table. The mass of the pulley is 2kg and its radius is 0.1m. When the blocks are released:
a) What is the acceleration of the masses?
b) What is the tension, T1, in

(Please see the attached file for detailed problem and fig.)
The two blocks, m1 = 3.0 kg and m2 = 4.9 kg, in the figure (see attachment) are connected by a massless rope that passes over a pulley. The pulley is 12 cm in diameter and has a mass of 2.0 kg. As the pulley turns, friction at the axle exerts a torque of magnitude 0

A 3.00-kg mass and a 5.00-kg mass hang vertically at the ends of a rope that goes over an ideal pulley. If the masses are released, what is the resulting acceleration of the masses?
0 m/
3.68 m/
2.45 m/
6.13 m/

The eastward component of vector A is equal to the westward component of vector B and their northward components are equal. Which one of the following statements is correct for these two vectors?
Choices:
Vector A is parallel to vector B
Vector A is anti-parallel to vector B
The magnitude of vector A is equal to the mag

(Please see the attached file and solve problem number 3 only)
Blocks A and B weigh 8 lb and 3 lb respectively and are connected by cord andpulley system and released from rest in the position shown with the spring undeformed (see attachment). Knowqing that the constant of the spring is k = 20 lb/ft, determine : a) the veloc

In a pulley system, the time of descent of a 100 gram mass is found to be 35 seconds. The vertical distance is given as 120 cms. The radius of the pulley (in the form of a disc) is 5 cms. Mass of the pulley is unknown. Determine (a) angular acceleration of the pulley (b) number of revolutions it makes during this time (c) To