A pulley of moment of inertia 2.1 kg - m² is mounted on a wall as shown in the following figure. Light strings are wrapped around two circumferences of the pulley and weights are attached. Assume the following data: r, = 55 cm, r2 = 20 cm, m, = 1.0 kg, and m2 = 2.5 kg. %3D

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Chapter10: Fixed-axis Rotation
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A pulley of moment of inertia 2.1 kg · m2 is mounted on a wall as shown in the following figure. Light strings are wrapped around
two circumferences of the pulley and weights are attached. Assume the following data: r, = 55 cm, r, = 20 cm, m, = 1.0 kg, and
m2 = 2.5 kg.
m2
(a) What is the angular acceleration of the pulley? (Enter the magnitude in rad/s2.)
0.288
|× rad/s2
(b) What is the linear acceleration (in m/s2) of the weights? (Indicate the direction with the signs of your answers. Assume the
upward direction is positive.)
|× m/s²
× m/s2
a, =
0.158
a, =
-0.058
Transcribed Image Text:A pulley of moment of inertia 2.1 kg · m2 is mounted on a wall as shown in the following figure. Light strings are wrapped around two circumferences of the pulley and weights are attached. Assume the following data: r, = 55 cm, r, = 20 cm, m, = 1.0 kg, and m2 = 2.5 kg. m2 (a) What is the angular acceleration of the pulley? (Enter the magnitude in rad/s2.) 0.288 |× rad/s2 (b) What is the linear acceleration (in m/s2) of the weights? (Indicate the direction with the signs of your answers. Assume the upward direction is positive.) |× m/s² × m/s2 a, = 0.158 a, = -0.058
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