A pendulum bob has a speed 3m/s while passing through its lowest position. What is its speed when it makes an angle of `60^0` with the vertical? The length of the pendulum is 0.5m Take `g=10 m/s^2`.

Explanation

To solve the problem of finding the speed of the pendulum bob when it makes an angle of \(60^\circ\) with the vertical, we can use the principle of conservation of mechanical energy. Here's a step-by-step solution:

### Step 1: Understand the initial conditions
At the lowest position (point A), the speed of the pendulum bob is given as \(v_A = 3 \, \text{m/s}\). The height at this point is considered zero.

### Step 2: Identify the height at angle \(60^\circ\)
When the pendulum bob makes an angle of \(60^\circ\) with the vertical, we need to find the height \(h\) it has risen. The length of the pendulum is \(l = 0.5 \, \text{m}\).

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