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. 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.

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:

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(c) Find

Consider Block 1

Net Force =Mass*Acceleration

ANSWER:

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

Angular acceleration,

ANSWER:

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

Consider the pulley

Net Torque = Moment of inertia * Angular acceleration

ANSWER:

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