MEDIUM
11th West Bengal Board
IMPORTANT
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Starting from the origin, a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy be 75% of the total energy?

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Important Questions on Oscillations

HARD
11th West Bengal Board
IMPORTANT

A wooden Cube (density of wood d) of side 1 floats in a liquid of density ρ with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs simple harmonic motion of period T, then T is given by

MEDIUM
11th West Bengal Board
IMPORTANT

A particle of mass m is located in a one-dimensional potential field whose potential energy is given by V(x)=A[1cos px], where A and p are constants. The period of small oscillations of the particle

MEDIUM
11th West Bengal Board
IMPORTANT

A particle executes s.h.m. of amplitude 25 cm and time period 3 s. What is the minimum time required for the particle to move between two points 12.5 cm on either side of the mean position?

MEDIUM
11th West Bengal Board
IMPORTANT
A mass M, attached to a horizontal spring, executes s.h.m. with amplitude A1. When the mass M passes through its mean position then a smaller mass m is placed over it and both of them move together with amplitude A2. The ratio of A1A2 is
 
MEDIUM
11th West Bengal Board
IMPORTANT

Two identical springs are connected to a mass m as shown in Fig. 22.67 (k=spring constant). If the period of the configuration in (a) is 2 s, the period of the configuration in (b) is

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MEDIUM
11th West Bengal Board
IMPORTANT
A simple pendulum is suspended from the ceiling of a lift. When the lift is at rest its time period is T. With what acceleration should the lift be accelerated upwards in order to reduce its period to T2? (g is acceleration due to gravity)
HARD
11th West Bengal Board
IMPORTANT

Two springs are joined and attached to a mass of 16 kg. This system is then suspended vertically from a rigid support. The spring constant of the springs are k1 and k2 respectively. The period of vertical oscillations of the system will be

EASY
11th West Bengal Board
IMPORTANT
Time period of a simple pendulum of length l is T1 and time period of a uniform rod of the same length l pivoted about one end oscillating in a vertical plane is T2. Amplitude of oscillation in both the cases is small. Then T1T2 is