A particle is in linear simple harmonic motion between two points A and B, 10 cm apart (Fig.). Take the direction from A to B as the + ve direction and choose the correct statements

(a) The sign of velocity, acceleration and force on the particle when it is 3 cm away from A going towards B are positive.

(b) The sign of velocity of the particle at C going towards O is negative.

(c) The sign of velocity, acceleration and force on the particle when it is 4 cm away from B going towards A are negative.

(d) The sign of acceleration and force on the particle when it is at point B is negative

If the time period of a two meter long simple pendulum is 2s, the acceleration due to gravity at the place where pendulum is executing S.H.M. is:

In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is k. The mass oscillates on a frictionless surface with time period T and amplitude A. When the mass is in equilibrium position, as shown in the figure, another mass m is gently fixed upon it. New amplitude of oscillation will be:

The fundamental frequency of an organ pipe open at one end is 300 Hz. The frequency of 3rd overtone of n Find n.×this organ pipe is 100 Hz

Consider two identical springs each of spring constant k and negligible mass compared to the mass M as shown. Fig. 1 shows one of them and Fig. 2 shows their series combination. The ratios of time period of oscillation of the two SHM is T_b / T_a = √x, where value of x is ................... (Round off to the Nearest Integer)

For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal?
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