Simple Pendulum

Question 1
Marks : +2 | -2
Pass Ratio : 100%
The periodic time of a compound pendulum is …….. when the distance between the point of suspension and the center of gravity is equal to the radius of gyration of the body about its center of gravity.
zero
minimum
maximum
none of the mentioned
Explanation:
When a rigid body is suspended vertically and it oscillates with a small amplitude under the action of the force of gravity, the body is known as compound pendulum.
Question 2
Marks : +2 | -2
Pass Ratio : 100%
Which of the following statement is correct?
The periodic time of a particle moving with simple harmonic motion is the time taken by a particle for one complete oscillation.
The periodic time of a particle moving with simple harmonic motion is directly proportional to its angular velocity.
The velocity of a particle moving with simple harmonic motion is zero at the mean position.
The acceleration of the particle moving with simple harmonic motion is maximum at the mean position.
Explanation:
The time taken for one complete revolution of the particle is called periodic time.
Question 3
Marks : +2 | -2
Pass Ratio : 100%
In order to double the period of a simple pendulum, the length of the string should be
halved
doubled
quadrupled
none of the mentioned
Explanation:
Periodic time, tp = 2п√L/g
Question 4
Marks : +2 | -2
Pass Ratio : 100%
The acceleration of the particle moving with simple harmonic motion is inversely proportional to the displacement of the particle from the mean position.
True
False
Explanation:
The acceleration of the particle moving with simple harmonic motion is directly proportional to the displacement of the particle from the mean position.
Question 5
Marks : +2 | -2
Pass Ratio : 100%
The distance between the center of suspension and center of percussion is equal to the equivalent length of a simple pendulum.
True
False
Explanation:
The periodic time and frequency of oscillation of a simple pendulum depends only upon its length and acceleration due to gravity.
Question 6
Marks : +2 | -2
Pass Ratio : 100%
In a simple harmonic motion, the velocity vector with respect to displacement vector
is in phase
leads by 900
leads by 1800
lags by 900
Explanation:
None
Question 7
Marks : +2 | -2
Pass Ratio : 100%
Bifilar suspension method is used to find the
angular acceleration of the body
moment of inertia of the body
periodic time of the body
frequency of vibration of the body
Explanation:
None
Question 8
Marks : +2 | -2
Pass Ratio : 100%
When the body is suspended at the point of suspension, its periodic time and frequency will be _____________ as compared to the body suspended at the point of percussion.
same
two times
four times
eight times
Explanation:
The distance between the center of suspension and center of percussion is equal to the equivalent length of a simple pendulum.
Question 9
Marks : +2 | -2
Pass Ratio : 100%
The equivalent length of simple pendulum depends upon the distance between the point of the suspension and the center of gravity.
True
False
Explanation:
None
Question 10
Marks : +2 | -2
Pass Ratio : 100%
The center of suspension and center of percussion are not interchangeable.
True
False
Explanation:
The distance between the center of suspension and center of percussion is equal to the equivalent length of a simple pendulum.