Pendulum in Non Inertial Frame

Q.

A simple pendulum has time period $T_1$. The point of suspension is now moved upward according to the relation $y=k{t}^2,(k=\frac{1m}{s^2})$ where y is the vertical displacement. The time period now becomes $T_2$. The ratio of$\frac{T_1^2}{T_2^2}$ is (Take g =$10\frac{m}{s^2})$

1. 1

2. 

3. 

4. 

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 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. g+a

3. Particle won't oscillate with fixed time period

4. 

Q.

A simple pendulum hanging from the ceiling of a stationary lift has a time period $T_1$. When the lift moves downward with constant velocity, the time period is $T_2$, then

1. T₂ is infinity

2. T₂> T₁

3. T₂< T₁

4. T₂ = T₁

Q. A person measures the time period of a simple pendulum inside a stationary lift and finds it to be T. If the lift starts accelerating upwards with an acceleration of g/3, the time period of the pendulum will be

1. 
2. 
3. 
4. 

Q. A simple pendulum of length $l$ and bob mass m is displaced from its equilibrium position O to a position P so that the height of P above O is $h$ and is released. What is the tension in the string when the bob passes through the equilibrium position O? Neglect friction. V is the velocity of the bob at O

1. 
2. 
3. 
4. 

Q. The period of oscillation of a simple pendulum of length l suspended from the roof of a vehicle which moves without friction down an inclined plane of inclination $\alpha$, is given by

1. 
2. 
3. 
4. 

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. The period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle which moves without friction down in an inclined plane of inclination $\alpha ,$ is given by

1. $2\pi \sqrt{\frac{L}{gtan\alpha }}$
2. $2\pi \sqrt{\frac{L}{gcos\alpha }}$
3. $2\pi \sqrt{\frac{L}{gsin\alpha }}$
4. $2\pi \sqrt{\frac{L}{g}}$

Q. The time period of the simple pendulum kept in a lift decreases when the lift is .

1. going up
2. going down
3. stationary