Question

In the figure, block 1 has mass m1 = 460 g, block 2 has mass m2 = 592 g, and the pulley is on a frictionless horizontal axle and has radius R = 4.70 cm

In the figure, block 1 has mass m1 = 460 g, block 2 has mass m2 = 592 g, and the pulley is on a frictionless horizontal axle and has radius R = 4.70 cm. When released from rest, block 2 falls 74.7 cm in 5.32 s without the cord slipping on the pulley.

  (a) What is the magnitude of the acceleration of the blocks? What are(b) tension T2 (the tension force on the block 2) and (c) tensionT1 (the tension force on the block 1)?(d) What is the magnitude of the pulley’s angular acceleration?

  (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s2.

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Answer #1

(a) What is the magnitude of the acceleration of the blocks?

Given that when released from rest, block 2 falls 74.7 cm in 5.32 s without the cord slipping on the pulley.

Use formula

ANSWER:

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(b) Find

Consider Block 2

Net Force =Mass*Acceleration

ANSWER:

=========================

(c) Find

Consider Block 1

Net Force =Mass*Acceleration

ANSWER:

========================

(d) What is the magnitude of the pulley’s angular acceleration?

Angular acceleration,

ANSWER:

============================

(e) What is the rotational inertia of the pulley?

Consider the pulley

Net Torque = Moment of inertia * Angular acceleration

ANSWER:

============================

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