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A second’s pendulum executes …………………….

half a beat

one beat

two beats

ten beats

A particle executes simple harmonic motion and when its displacement from the mean position is 2.5 cm, its kinetic and potential energies are of equal magnitude. The amplitude of the motion of the particle is approximately

2.5 cm

3.5 cm

5.0 cm

7.5 cm

Which of the following statements is/are wrong about a body executing simple harmonic motion?

periodic time is inversely proportional to angular velocity

frequency is inversely proportional to periodic time

acceleration is proportional to displacement

velocity will be maximum when the amplitude is zero

momentum is conserved

Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for

quarter oscillation

half oscillation

complete oscillation

two oscillations

In simple harmonic motion, displacement at any time can be expressed as a single function of sine or cosine. Which of the following is not a sine curve?

displacement-time

velocity-time

acceleration-time

amplitude-time

When a body executes simple harmonic motion, there is always a constant ratio between the displacement of mass and its

frequency

velocity

time speed

acceleration

In simple harmonic motion, the acceleration is proportional to

displacement

linear velocity

angular velocity

rate of change of angular velocity

Which one of the following does not conform to simple harmonic motion?

motion followed by depressing and release of liquid in U-tube

motion of earth and other planets around the sun

motion of balance wheel of a watch

motion of the bob of a simple pendulum

A solid cylinder of radius r rests on a horizontal plane. The height of its centre of percussion above the plane equals

2/3 r

4/3 r

3/2 r

8/5 r

The centre of percussion and axis of oscillation

act at centre of gravity of the body

lie apart a distance equal to radius of gyration

are interchangeable

are coincident

For a homogenous rod of length l suspended from the top, the centre of percussion lies at a distance

3l/8

3l/4

2l/3

l/3

The centre of percussion is

point of suspension of a system

same as centre of gravity

point in a body about which it can rotate horizontally and oscillate under the influence of gravity

point of application of the resultant of all forces tending to cause the body rotate about a central axis.

Identify the wrong statement/statements

The time period of a bob of simple pendulum when made to oscillate in water instead of air will increase

When the length of a simple pendulum is increased by 2 percent, the time period will increase approximately by 1 percent

At some instant during the motion of a simple pendulum, a piece of mud equal to the mass of bob gets attached to it. That would result into a decrease in frequency of oscillation of the pendulum

A simple pendulum vibrating in an evacuated chamber will oscillate forever with the same amplitude and frequency.

The maximum speed of the bob of a second pendulum is stated to be 1 m/s. Its maximum acceleration would be

1.57 m/s2

3.14 m/s2

5.62 m/s2

6.48 m/s2

The length of a seconds pendulum is

56.3 cm

74.8 cm

99.4 cm

112.5 cm

Simple harmonic motion

is another name for periodic motion

is the motion of a point in a circle

is a projection of the circular motion of a particle

is a projection of the circulation motion of a particle at constant speed on a diameter of the circle.

half a beat

one beat

two beats

ten beats

A particle executes simple harmonic motion and when its displacement from the mean position is 2.5 cm, its kinetic and potential energies are of equal magnitude. The amplitude of the motion of the particle is approximately

2.5 cm

3.5 cm

5.0 cm

7.5 cm

Which of the following statements is/are wrong about a body executing simple harmonic motion?

periodic time is inversely proportional to angular velocity

frequency is inversely proportional to periodic time

acceleration is proportional to displacement

velocity will be maximum when the amplitude is zero

momentum is conserved

Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for

quarter oscillation

half oscillation

complete oscillation

two oscillations

In simple harmonic motion, displacement at any time can be expressed as a single function of sine or cosine. Which of the following is not a sine curve?

displacement-time

velocity-time

acceleration-time

amplitude-time

When a body executes simple harmonic motion, there is always a constant ratio between the displacement of mass and its

frequency

velocity

time speed

acceleration

In simple harmonic motion, the acceleration is proportional to

displacement

linear velocity

angular velocity

rate of change of angular velocity

Which one of the following does not conform to simple harmonic motion?

motion followed by depressing and release of liquid in U-tube

motion of earth and other planets around the sun

motion of balance wheel of a watch

motion of the bob of a simple pendulum

A solid cylinder of radius r rests on a horizontal plane. The height of its centre of percussion above the plane equals

2/3 r

4/3 r

3/2 r

8/5 r

The centre of percussion and axis of oscillation

act at centre of gravity of the body

lie apart a distance equal to radius of gyration

are interchangeable

are coincident

For a homogenous rod of length l suspended from the top, the centre of percussion lies at a distance

3l/8

3l/4

2l/3

l/3

The centre of percussion is

point of suspension of a system

same as centre of gravity

point in a body about which it can rotate horizontally and oscillate under the influence of gravity

point of application of the resultant of all forces tending to cause the body rotate about a central axis.

Identify the wrong statement/statements

The time period of a bob of simple pendulum when made to oscillate in water instead of air will increase

When the length of a simple pendulum is increased by 2 percent, the time period will increase approximately by 1 percent

At some instant during the motion of a simple pendulum, a piece of mud equal to the mass of bob gets attached to it. That would result into a decrease in frequency of oscillation of the pendulum

A simple pendulum vibrating in an evacuated chamber will oscillate forever with the same amplitude and frequency.

The maximum speed of the bob of a second pendulum is stated to be 1 m/s. Its maximum acceleration would be

1.57 m/s2

3.14 m/s2

5.62 m/s2

6.48 m/s2

The length of a seconds pendulum is

56.3 cm

74.8 cm

99.4 cm

112.5 cm

Simple harmonic motion

is another name for periodic motion

is the motion of a point in a circle

is a projection of the circular motion of a particle

is a projection of the circulation motion of a particle at constant speed on a diameter of the circle.

Tests your knowledge about simple harmonic motion

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