A block of mass m is attached with spring of spring constant K. There is a wall at distance 2 A from the natural length of spring. Block is displaced such that compression produced in spring is A. I

Question

A block of mass m is attached with spring of spring constant K. There is a wall at distance $\frac{A}{2}$ from the natural length of spring. Block is displaced such that compression produced in spring is A. If $T = 2 π \frac{m}{k}$ then find the time period of this motion. All collision are elastic and spring is ideal. If your answer is $\frac{m}{n} T$ where m & n are lowest possible integer, fill value of $(m + n)$ .

TestHub · Accepted Answer

From phaser diagram the total angle covered by block is 9 0 ∘ + 3 0 ∘ + 3 0 ∘ + 9 0 ∘ = 24 0 ∘ time taken = 360 240 ​ T = 3 2 T ​ m = 2 , n = 3 m + n = 5

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