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Machine Kinematics Multiple Choice Questions and Answers – Differential Equation of Simple Harmonic Motion

Questions
1 By how much angle in degrees does the velocity leads the displacement in a body undergoing SIMPLE HARMONIC MOTION?
A 90
B 45
C 180
D 0

Answer: 90
2 For a body undergoing SIMPLE HARMONIC MOTION, the acceleration is always in the direction of the displacement.
A True
B False

Answer: False
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3 The maximum displacement of the body under Simple Harmonic Motion from its mean position is known as_______
A Amplitude
B Frequency
C Time period
D Range

Answer: Amplitude
4 The piston of an engine moves with SIMPLE HARMONIC MOTION. The crank rotates at a speed of 120 r.p.m. with a stroke of 2 metres. Find the velocity of the piston in m/s, when it is at a distance of 0.75 metre from the centre.
A 8.31
B 7.33
C 8.41
D 9.02

Answer: 8.31
5 The piston of an engine moves with SIMPLE HARMONIC MOTION. The crank rotates at a speed of 120 r.p.m. with a stroke of 2 metres. Find the velocity of the piston in m/s2, when it is at a distance of 0.75 metre from the centre.
A 118.46
B 117.33
C 128.41
D 119.02

Answer: 118.46
6 A point moves with SIMPLE HARMONIC MOTION. When this point is 0.75 m away from the mid path, it has a velocity of 11 m/s and when 2 m from the centre of its path its velocity is 3 m/s. Find its angular velocity in rad/s.
A 5.7
B 7.5
C 6.7
D 7.6

Answer: 5.7
7 A point moves with SIMPLE HARMONIC MOTION. When this point is 0.75 m away from the mid path, it has a velocity of 11 m/s and when 2 m from the centre of its path its velocity is 3 m/s. Find its time period in s.
A 1.1
B 1.2
C 1.3
D 1.4

Answer: 1.1
8 A point moves with SIMPLE HARMONIC MOTION. When this point is 0.75 m away from the mid path, it has a velocity of 11 m/s and when 2 m from the centre of its path its velocity is 3 m/s. Find its maximum acceleration in m/s2.
A 61.1
B 67.2
C 51.3
D 41.4

Answer: 67.2
9 If V is the maximum velocity of a body undergoing SIMPLE HARMONIC MOTION, then what is the average velocity of motion from one extreme to other extreme is?
A 2V/π
B 4V/π
C V/2π
D 2V/3π

Answer: 2V/π
10 If V is the maximum velocity of a body undergoing SIMPLE HARMONIC MOTION, then what is the average velocity of motion?
A 2V/π
B 4V/π
C V/2π
D 2V/3π

Answer: 2V/π

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