List of top Physics Questions on Pendulums

A bob of heavy mass \(m\) is suspended by a light string of length \(l\). The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point P making an angle \( \theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point P to its initial speed \(v_0\) is : 

A simple pendulum is taken at a place where its distance from the Earth's surface is equal to the radius of the Earth. Calculate the time period of small oscillations if the length of the string is 4.0 m. (Take \( g = 9 \, \text{m/s}^2 \) at the surface of the Earth.)
What is the time period of a simple pendulum of length \( L \) and acceleration due to gravity \( g \)?
If the mass of the bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is \(\frac{x}{2}\) times its original time period. Then the value of x is :
A simple pendulum doing small oscillations at a place R height above earth surface has time period of T1 = 4 s. T2 would be it's time period if it is brought to a point which is at a height 2R from earth surface. Choose the correct relation [R = radius of Earth]:
A simple pendulum of length 1 m has a wooden bob of mass 1 kg. It is struck by a bullet of mass 10–2 kg moving with a speed of 2 × 102 ms–1 . The bullet gets embedded into the bob. The height to which the bob rises before swinging back is. (use g = 10 ms-2 )
The bob of a pendulum was released from a horizontal position. The length of the pendulum is 10 m. If it dissipates 10% of its initial energy against air resistance, the speed with which the bob arrives at the lowest point is: [Use, \( g : 10 \, \text{m/s}^2 \)]
A simple pendulum is suspended in a car moving on a circular track of radius \( R \) with a uniform speed of \( \sqrt{1.732 g R} \). The pendulum is making small oscillations in a radial direction about its equilibrium position with a time period \( T \). If the car is at rest, the time period of the pendulum is:
If two simple pendulums first of bob mass \( M_1 \) and length \( l_1 \), and \( M_2 \) and \( l_2 \), Given \( M_1 = M_2 \) and \( l_1 = 2l_2 \), If the vibrational energies of both are same, then which of the following is correct?

The bob of a pendulum is released from a horizontal position A as shown in the figure. If the length of the pendulum is 1.5 m, what is the speed with which the bob arrives at the lower most point B, given that it dissipated 5% of its initial energy against air resistance?

The period of oscillation of a simple pendulum of length \( l \) suspended from the roof of a vehicle which moves down without friction on an inclined plane of inclination \( \theta \), is given by