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A rod of length L fixed at the origin at one end is placed along the x-axis at t = 0. It starts rotating about the z-axis in the x-y plane anti-clockwise as seen from the positive z-axis. The angular displacement is given by θ = 2t2. The angular acceleration of the rod is
  • a)
    1 rad/s2
  • b)
    2 rad/s2
  • c)
    3 rad/s2
  • d)
    4 rad/s2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A rod of length L fixed at the origin at one end is placed along the x...
Kinematic equations of rotational motion about a fixed axis,
where ω is the instantaneous angular velocity, α is the instantaneous angular acceleration, θ is the angular displacement, and t is time.
EXPLANATION:
Given: Length of the rod = L, and angular displacement θ = 2t2
  • Using the first equation,
  • Using the second equation, 

Therefore option 4 is correct.
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Community Answer
A rod of length L fixed at the origin at one end is placed along the x...
The angular displacement is given by the equation:

θ(t) = ωt

where θ(t) is the angular displacement at time t, and ω is the angular velocity.

In this case, the rod is rotating about the z-axis in the x-y plane, so the angular displacement is in the z-direction. Therefore, the angular displacement is given by:

θ(t) = ωt * k

where k is a unit vector in the z-direction.

Since the rod starts rotating at t = 0, we can assume that the initial angular displacement is 0.

Therefore, the angular displacement at any time t is given by:

θ(t) = ωt * k

where k is a unit vector in the z-direction.
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A rod of length L fixed at the origin at one end is placed along the x-axis at t = 0. It starts rotating about the z-axis in the x-y plane anti-clockwise as seen from the positive z-axis.The angular displacement is given by θ = 2t2. The angular acceleration of the rod isa)1 rad/s2b)2 rad/s2c)3 rad/s2d)4 rad/s2Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A rod of length L fixed at the origin at one end is placed along the x-axis at t = 0. It starts rotating about the z-axis in the x-y plane anti-clockwise as seen from the positive z-axis.The angular displacement is given by θ = 2t2. The angular acceleration of the rod isa)1 rad/s2b)2 rad/s2c)3 rad/s2d)4 rad/s2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rod of length L fixed at the origin at one end is placed along the x-axis at t = 0. It starts rotating about the z-axis in the x-y plane anti-clockwise as seen from the positive z-axis.The angular displacement is given by θ = 2t2. The angular acceleration of the rod isa)1 rad/s2b)2 rad/s2c)3 rad/s2d)4 rad/s2Correct answer is option 'D'. Can you explain this answer?.
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