A solid body rotates about a stationary axis, so that its angular velocity

A solid body rotates about a stationary axis, so that its angular velocity depends on the rotation angle ? as ?= ?¬ツメ – k ?, where ?¬ツメ and k are positive constants.At the moment t=0, ?=0, the time dependence of rotation angle is

Options

(a) k?¬ツメe-ᵏᵗ
(b) (?¬ツメ/k)e-ᵏᵗ
(c) (?¬ツメ/k)(1-e-ᵏᵗ)
(d) (?¬ツメ/k)(1-e-ᵏᵗ)

Correct Answer:

(?¬ツメ/k)(1-e-ᵏᵗ)

Explanation:

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