81 A uniform cylinder of mass m₁ and radius R is piv- oted on frictionless bearings. A massless string wrapped around the cylinder is connected to a block of mass m₂ that is on a fric- tionless incline of angle 0 as shown in Figure 9-62. The system is released from rest when the block is at a vertical distance h above the bottom of the incline. (a) What is the acceleration of the block? (b) What is the tension in the string? (c) What is the speed of the block as it reaches the bottom of the incline? (d) Evaluate your answers for the special case where 0 = 90° and m₁ 0. Are your answers what you would expect for this special case? Explain. SSM = m1 R m2 FIGURE 9-62 Problem 81

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81
A uniform cylinder of mass m₁ and radius R is piv-
oted on frictionless bearings. A massless string wrapped around
the cylinder is connected to a block of mass m₂ that is on a fric-
tionless incline of angle 0 as shown in Figure 9-62. The system is
released from rest when the block is at a vertical distance h
above the bottom of the incline. (a) What is the acceleration of
the block? (b) What is the tension in the string? (c) What is the
speed of the block as it reaches the bottom of the incline?
(d) Evaluate your answers for the special case where 0 = 90°
and m₁
0. Are your answers what you would expect for this
special case? Explain. SSM
=
m1
R
m2
FIGURE 9-62
Problem 81
Transcribed Image Text:81 A uniform cylinder of mass m₁ and radius R is piv- oted on frictionless bearings. A massless string wrapped around the cylinder is connected to a block of mass m₂ that is on a fric- tionless incline of angle 0 as shown in Figure 9-62. The system is released from rest when the block is at a vertical distance h above the bottom of the incline. (a) What is the acceleration of the block? (b) What is the tension in the string? (c) What is the speed of the block as it reaches the bottom of the incline? (d) Evaluate your answers for the special case where 0 = 90° and m₁ 0. Are your answers what you would expect for this special case? Explain. SSM = m1 R m2 FIGURE 9-62 Problem 81
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