The displacement y of a particle executing periodic motion is given by This expression may be considered to be a result of the superposition of ........... independent harmonic motions
1. Two
2. Three
3. Four
4. Five
Three masses 700g, 500g, and 400g are suspended at the end of a spring as shown and are in equilibrium. When the 700g mass is removed, the system oscillates with a period of 3 seconds. When the 500 gm mass is also removed, it will oscillate with a period of
1. 1 s
2. 2 s
3. 3 s
4.
A particle of mass m is attached to three identical springs A, B and C each of force constant k a shown in figure. If the particle of mass m is pushed slightly against the spring A and released then the time period of oscillations is -
(a) (b)
(c) (d)
The graph shows the variation of displacement of a particle executing SHM with time. We infer from this graph that:
1. | the force is zero at the time \(T/8\). |
2. | the velocity is maximum at the time \(T/4\). |
3. | the acceleration is maximum at the time \(T\). |
4. | the P.E. is equal to the total energy at the time \(T/4\). |
A particle of mass m oscillates with simple harmonic motion between points and , the equilibrium position being O. Its potential energy is plotted. It will be as given below in the graph
1.
2.
3.
4.
For a particle executing SHM the displacement \(x \) is given by, \(A\cos \omega t.\) Identify the graph which represents the variation of potential energy (P.E.) as a function of time \(t\) and displacement \(x.\)
1. I, III
2. II, IV
3. II, III
4. I, IV
The velocity-time diagram of a harmonic oscillator is shown in the adjoining figure. The frequency of oscillation is
1. 25 Hz
2. 50 Hz
3. 12.25 Hz
4. 33.3 Hz
The variation of potential energy of harmonic oscillator is as shown in figure. The spring constant is
1. 1 102 N/m
2. 150 N/m
3. 0.667 102 N/m
4. 3 102 N/m
A body performs S.H.M. . Its kinetic energy K varies with time t as indicated by graph
1. | 2. | ||
3. | 4. |
An ideal spring with spring-constant K is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is -
1. 4 Mg/K
2. 2 Mg/K
3. Mg/K
4. Mg/2K