Question

A flat horizontal platform moves up and down in SHM with an amplitude of 1 cm. A small object is placed on the platform. What is the maximum frequency the platform can have, if the object is not to separate from it during any part of motion?

Solution

Correct option is

 per second

The maximum restoring force of SHM is the weight of the object on the platform. If A is the amplitude, we have  where 

SIMILAR QUESTIONS

Q1

The number of possible overtones of air column in a closed pipe of length 83.2 cm and of diameter 6 cm whose frequencies lie below 1000 Hz will be [velocity of sound = 340 m/s]:

Q2

Two stars P and Q have slightly different surface temperatures TP and TQrespectively, with TP > TQ. Both stars are receding from the earth with speeds vP and vQ relative to the earth. The wavelength of light at which they radiate the maximum energy is found to be same for both:

Q3

In a resonance column experiment, a long tube, open at the top, is calmed vertically. By a separate device, water level inside the tube can be moved up or down. The section of the tube from the open end to the water level acts as a closed organ pipe. A vibrating tuning fork is held above the open end, and the water level is gradually pushed down. The first and the second resonances occur when the water level is 24.1 cm and 74.1 cm respectively below the open end. The diameter of the tube is:

Q4

A wave represented by the equation  is superimposed on another wave to form a stationary wave such that the point x = 0 is a node. The equation for the other wave is:   

Q5

The amplitude of a wave disturbance propagating in the positive x-direction is given by  at time t = 0 and by  at t = 2 seconds, where x and y are in metres. The shape of the wave disturbance does not change during the propagation. The velocity of the wave is:       

Q6

A uniform rope of mass 6 kg hangs vertically from a rigid support. A block of mass 2 kg is attached to the free end of the rope. A transverse pulse of wavelength 0.06 m is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top is (in m):

Q7

A tuning fork of frequency 256 Hz is excited and held at the mouth of a resonance column of frequency 254 Hz. Choose the correct statement:

Q8

A man facing a wall holds a tuning fork of frequency 256 Hz between himself and a vertical wall. He moves the tuning fork towards the wall with a velocity 1/100 of the velocity of sound. The number of beats heard per minute would be:

Q9

In a good tuning fork:

Q10

When a tuning fork is vibrating, the vibrations of the two prongs: