SHM in Vertical Spring Block

Q. A spring block system is kept vertically and the block is in equilibrium position. This equilibrium position is _______

1. Stable
2. Unstable
3. Neutral

Q.

A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released, so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes $\frac{5T}{3}$. Then the ratio of $\frac{m}{M}$ is

1. 25/9

2. 16/9

3. 5/3

4. 3/5

Q.
A spring block system with mass M and spring constant k is suspended vertically and left to oscillate. It has a natural frequency fo f1. Another spring block system with same mass and spring constant is kept on a horizontal smooth surface.Its natural frequency is observed to be f2.
What do you think will be the relation between f1 and f2.

1. f1=f2
2. Data Insufficient
3. f1>f2
4. f1<f2

Q. A mass of 0.2 kg is attached to the lower end of a massless spring of force-constant 200 N/m, the upper end of which is fixed to a rigid support. Which of the following statements is/are true?

1. In equilibrium, the spring will be stretched by 1 cm

2. If the mass is raised till the spring is un-stretched state and them released, it will go down by 2 cm before moving upwards.

3. The frequency of oscillation will be nearly 5 Hz.

4. If the system is taken to the moon, the frequency of oscillation will be the same as on the earth.

Q.

Two bodies A and B of equal mass are suspended from two separate massless springs of spring constant $k_{1}and{k}_2$ respectively. If the bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of A to that of B is

1. 

2. 

3. 

4. 

Q. A rigid cubical block A of mass M and side L is fixed rigidly on to another cubical block of the same dimensions and of modulus of rigidity $n$ such that the lower face of A completely covers the upper face of B. the lower face of B is rigidly held on a horizontal surface. A small F is applied perpendicular to one of the side faces of A.After the force is withdrawn, block A executes small oscillations, the time period of which is

1. 
2. 
3. 
4. 

Q. A mass m is suspended at the end of a massless wire of length L and cross – sectional area A. If Y is the Young’s modulus of the material of the wire, the frequency of oscillations along the vertical line is given by

1. 
2. 
3. 
4. 

Q. A mass M attached to a light spring oscillates with a period of 2 seconds. If the mass is increased by 2 kg the period increases by 1 second. What is the value of M?

1. 1.0 kg
2. 1.6 kg
3. 2.0 kg
4. 2.4 kg

Q. A heavy metal sphere is suspended from a spring. When pulled down a little and released, it oscillates up and down with a frequency f. If it is taken to the moon (where the acceleration due to gravity is one – sixth that on earth) the frequency of vertical oscillation will

1. become 6f
2. Remain unchanged
3. become
4. become

Q. When a mass m is hung from the lower of a spring of negligible mass, an extension x is produced in the spring. The mass is set into vertical oscillations.The time period of oscillation is

1. 
2. 
3. 
4.