Question

A green hoop with mass mh = 2.4 kg and radius Rh = 0.14 m hangs from a string that goes over a blue solid disk pulley with mass md = 2.3 kg and radius Rd = 0.08 m. The other end of the string is attached to an orange block on a flat horizontal surface that slides without friction and has mass m = 3.6 kg (see Figure 1). The system is released from rest.

(a) What is magnitude of the linear acceleration of the hoop? (4pt)

(b) What is magnitude of the linear acceleration of the block? (1pt)

(c) What is the magnitude of the angular acceleration of the disk pulley? (1pt) (d) What is the tension in the string between the block and disk pulley? (1pt)

(e) What is the tension in the string between the hoop and disk pulley? (1pt) (f) What is the speed of the green hoop after it falls distance d = 1.49 m from rest. (2pt)

(g) Now use energy conservation principle to solve for the hoop’s speed in (f). (5pt)

(h) Now instead of the block, the other end of the string is attached to a massless axel through the center of an orange sphere that rolls without slipping and has mass m = 3.6 kg and radius R = 0.22 m (Figure 2). Use energy conservation principle to solve for the speed of the hoop after it falls distance d = 1.49 m from rest. Compare your answer with the result you got in (g) [or (f)] and briefly expain why they are different. (5pt)

Answer #1

An green hoop with mass
mh = 2.7 kg and radius Rh = 0.15 m
hangs from a string that goes over a blue solid disk pulley with mass
md = 2.1 kg and radius Rd = 0.09 m.
The other end of the string is attached to a massless axel through
the center of an orange sphere on a flat horizontal surface that
rolls without slipping and has mass ms = 3.7 kg and
radius Rs = 0.19 m. The system is released from
rest.
1. What is magnitude...

The system shown in the figure below consists of a mass M =
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acceleration of M = 4.1 kg
acceleration of m...

A hoop of mass M and radius R, initially at
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a. For this process, the kinetic energy of the system consisting
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b.For this process, the angular momentum of the system
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Problem 4
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A block of mass 2 kg that sits on a horizontal table is
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A counterweight of mass m = 4.30 kg is attached to a light cord
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The spokes have negligible mass. (a) What is the net torque on the
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When the counterweight has a speed v, the pulley has...

A circular hoop (?hoop ?? ) of mass ? 5.00 kg, radius ? 2.00 m,
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A block (mass = 2.4 kg) is hanging from a massless cord that is
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