Simple Harmonic Motion Physics - Simple Harmonic Motion

A particle is fastened at the end of a string and is whirled in a vertical circle with the other end of the string being fixed. The motion of the particle is:

1. Periodic.
2. Oscillatory.
3. Simple harmonic.
4. Angular simple harmonic.

The motion of a torsional pendulum is:

1. Periodic.
2. Oscillatory.
3. Simple harmonic.
4. Angular simple harmonic.

Suppose a tunnel is dug along a diameter of the earth. A particle is dropped from a point, a distance h directly above the tunnel. The motion of the particle as seen from the earth is:

1. Simple harmonic.
2. Parabolic.
3. On a straight line.
4. Periodic.

A platoon of soldiers marches on a road in steps according to the sound of a marching band. The band is stopped and the soldiers are ordered to break the steps while crossing a bridge. Why?

A pendulum clock gives correct time at the equator. Will it gain time or loose time as it is taken to the poles?

The springs shown in the figure are all unstretched in the beginning when a man starts pulling the block. The man exerts a constant force F on the block. Find the amplitude and the frequency of the motion of the block.

A particle executing simple harmonic motion comes to rest at the extreme positions. Is the resultant force on the particle zero at these positions according to Newton's first law?

The pendulum of a clock is replaced by a spring-mass system with the spring having spring constant 0.1N/m. What mass should be attached to the spring?

It is proposed to move a particle in simple harmonic motion on a rough horizontal surface by applying an external force along the line of motion. Sketch the graph of the applied force against the position of the particle. Note that the applied force has two values for a given position depending on whether the particle is moving in positive or negative direction.

A pendulum clock giving correct time at a place where g = 9.800m/s² is taken to another place where it loses 24 seconds during 24 hours. Find the value of g at this new place.

The maximum speed and acceleration of a particle executing simple harmonic motion are 10cm/s and 50cm/s². Find the position(s) of the particle when the speed is 8cm/s.

A spring stores 5J of energy when stretched by 25cm. It is kept vertical with the lower end fixed. A block fastened to its other end is made to undergo small oscillations. If the block makes 5 oscillations each second, what is the mass of the block?

The spring shown in figure is unstretched when a man starts pulling on the cord. The mass of the block is M. If the man exerts a constant force F, find

1. The amplitude and the time period of the motion of the block,
2. The energy stored in the spring when the block passes through the equilibrium position and,
3. The kinetic energy of the block at this position.

Consider a simple harmonic motion of time period T. Calculate the time taken for the displacement to change value from half the amplitude to the amplitude.

A block of mass 0.5kg hanging from a vertical spring executes simple harmonic motion of amplitude 0.1m and time period 0.314s. Find the maximum force exerted by. the spring on the block.

The ear-ring of a lady shown in has a 3cm long light suspension wire.

1. Find the time period of small oscillations if the lady is standing on the ground.
2. The lady now sits in a merry-go-round moving at 4m/s in a circle of radius 2m. Find the time period of small oscillations of the ear-ring.

A simple pendulum of length I is suspended from the ceiling of a car moving with a speed v on a circular horizontal road of radius r.

1. Find the tension in the string when it is at rest with respect to the car.
2. Find the time period of small oscillation.

A simple pendulum fixed in a car has a time period of 4 seconds when the car is moving uniformly on a horizontal road. When the accelerator is pressed, the time period changes to 3.99 seconds. Making an approximate analysis, find the acceleration of the car.

A person goes to bed at sharp 10:00 pm every day. Is it an example of periodic motion? If yes, what is the time period? If no, why?

A simple pendulum is constructed by hanging a heavy ball by a 5.0m long string. It undergoes small oscillations.

1. How many oscillations does it make per second?
2. What will be the frequency if the system is taken on the moon where acceleration due to gravitation of the moon is 1.67m/s².

Find the time period of the oscillation of mass m in figure What is the equivalent spring constant of the pair of springs in each case?