The point A moves with a uniform speed along the circumference of a circle of radius 0 . 36 m and covers 30 ° in 0 . 1 s . The perpendicular projection P from A on the diameter M N represents the simp

Question

The point A moves with a uniform speed along the circumference of a circle of radius 0 . 36 m and covers 30 ° in 0 . 1 s . The perpendicular projection P from A on the diameter M N represents the simple harmonic motion of P . The restoration force per unit mass when P touches M will be :

TestHub · Accepted Answer

The point A covers 30 ° in 0 . 1 s . Then, we have π 6 rad ⟶ 0 . 1 s . Or 1 rad ⟶ 0 . 1 π 6 s Or 2 π in → 0 . 1 × 6 π × 2 π Thus, time taken is T = 1 . 2 sec . We know that ω = 2 π T Then, ω = 2 π 1 . 2 Restoration force ( F ) = mω 2 A . Then Restoration force per unit mass F m = ω 2 A F m = 2 π 1 . 2 2 × 0 . 36 ≅ 9 . 87 N

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