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A torque τ is applied to a rigid body with moment of inertia I. If the body starts from rest, what is the angular displacement θ after time t?

Practice Questions

1 question
Q1
A torque τ is applied to a rigid body with moment of inertia I. If the body starts from rest, what is the angular displacement θ after time t?
  1. (1/2)(τ/I)t^2
  2. (τ/I)t^2
  3. (1/2)(I/τ)t^2
  4. (I/τ)t^2

Questions & Step-by-step Solutions

1 item
Q
Q: A torque τ is applied to a rigid body with moment of inertia I. If the body starts from rest, what is the angular displacement θ after time t?
Solution: Using the equation of motion for rotation, θ = (1/2)αt^2, where α = τ/I, thus θ = (1/2)(τ/I)t^2.
Steps: 0

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