The upper end of the string of a simple pendulum is fixed to a vertical z-axis, and set in motion such that the bob moves along a horizontal circular path of radius 2 m, parallel to the xy plane, 5 m

Question

The upper end of the string of a simple pendulum is fixed to a vertical z-axis, and set in motion such that the bob moves along a horizontal circular path of radius 2 m, parallel to the xy plane, 5 m above the origin as shown. The bob has a speed of 3 m/s. The string breaks when the bob is vertically above the x-axis, and it lands on the xy plane at a point (x, y), then :-

TestHub · Accepted Answer

After the string breaks, the bob is a projectile. Along x: $u_{x} = 0, a_{x} = 0 \Rightarrow x = 2 m$ (unchanged).

Along z: $5 = \frac{1}{2} (10) t^{2} \Rightarrow t = 1 s$ . Along y: $y = 3 \times 1 = 3 m$ .

Only x = 2 m is correct. Hence (A).

Physics - Kinematics Question with Solution | TestHub

Options:

Doubts & Discussion