Pendulum in Non Inertial Frame

Q.

If a pendulum clock is taken from the equator to the poles, time period increases.

1. True
2. False

Q.

What is the law of pendulum?

Q. The time period of a simple pendulum inside a stationary lift is $\sqrt{3}\text{s}$. When the lift moves downward with an acceleration $\frac{g}{4}$, find the time period of simple pendulum.

1. $1\text{s}$
2. $2\text{s}$
3. $3\text{s}$
4. $6\text{s}$

Q. The length of a simple pendulum is $32\text{cm}$. It is suspended by the roof of a lift which is moving upwards with an acceleration of $6.2{\text{m/s}}^2$. Find the time period of pendulum.

1. $0.2\sqrt{2}\pi \text{s}$
2. $\sqrt{2}\pi \text{s}$
3. $0.6\sqrt{2}\pi \text{s}$
4. $0.2\sqrt{6}\pi \text{s}$

Q.

A simple pendulum is suspended from the ceiling of a car accelerating uniformly on a horizontal road. If the acceleration is $a_0$ and the length of the pendulum is l, find the time period of small oscillations about the mean position.

1. $2\pi \sqrt{\frac{l}{g}}$

2. g+a

3. $2\pi \sqrt{\frac{l}{\sqrt{a^2+g^2}}}$

4. Particle won't oscillate with fixed time period

Q. A simple pendulum is suspended from the roof of a trolley which moves, in a horizontal direction with an acceleration $a$, and its time period is given by $T=2\pi \sqrt{\frac{l}{g^{\prime }}}$ which of the following correctly represent the value of $g^{\prime }$.

1. $g$
2. $g-a$
3. $g+a$
4. $\sqrt{g^2+a^2}$

Q. The length of a simple pendulum is $32\text{cm}$. It is suspended by the roof of a lift which is moving upwards with an acceleration of $6.2{\text{m/s}}^2$. Find the time period of pendulum.

1. $0.2\sqrt{2}\pi \text{s}$
2. $\sqrt{2}\pi \text{s}$
3. $0.6\sqrt{2}\pi \text{s}$
4. $0.2\sqrt{6}\pi \text{s}$

Q. A simple pendulum is hanged inside a car, if the car starts to move with constant acceleration,
then the time period of the pendulum will ​​​​​​

1. increase
2. decrease
3. not change

Q. A simple pendulum of length 1 m is taken to height h (h = R = radius of the earth) from the earth’s surface.
The time period of small oscillation of the pendulum at that point is $(g={\pi }^{2}m{s}^{-2})$

1. 2 s
2. 3 s
3. 4 s
4. 1 s

Q. A simple pendulum of length $100\text{cm}$ is suspended from the ceiling of a cart which is sliding without friction on an inclined plane of inclination ${60}^{\circ }$. Find the time period of the pendulum.
Take $g=10{\text{m/s}}^2$.

1. $2\text{s}$
2. $2.8\text{s}$
3. $5\text{s}$
4. $2.14\text{s}$

Q. A pendulum is fixed to the ceiling of an elevator that is going up with an acceleration of a. What will happen to the time period of the pendulum?

1. Increase
2. Decrease
3. Remain same
4. Data insufficient

Q. A simple pendulum is hanged inside a car, if the car starts to move with constant acceleration,
then the time period of the pendulum will ​​​​​​

1. increase
2. decrease
3. not change