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Machine Kinematics
Tricky Machine Kinematics
Quiz 1
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Q.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
Q.2
For a body undergoing SIMPLE HARMONIC MOTION, the acceleration is always in the direction of the displacement.
a) True
b) False
Q.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
Q.4
The piston of an engine moves with SIMPLE HARMONIC MOTION. The crank rotates at a speed ofr.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.metre from the centre.
a) 8.31
b) 7.33
c) 8.41
d) 9.02
Q.5
The piston of an engine moves with SIMPLE HARMONIC MOTION. The crank rotates at a speed ofr.p.m. with a stroke of 2 metres. Find the velocity of the piston in m/swhen it is at a distance of 0.metre from the centre.
a) 118.46
b) 117.33
c) 128.41
d) 119.02
Q.6
A point moves with SIMPLE HARMONIC MOTION. When this point is 0.m away from the mid path, it has a velocity ofm/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
Q.7
A point moves with SIMPLE HARMONIC MOTION. When this point is 0.m away from the mid path, it has a velocity ofm/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
Q.8
A point moves with SIMPLE HARMONIC MOTION. When this point is 0.m away from the mid path, it has a velocity ofm/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
Q.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
Q.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
Q.11
Which of the following is the correct differential equation of the SIMPLE HARMONIC MOTION?
a) d2x/dt2 + ω2x = 0
b) d2x/dt2 – ω2x = 0
c) d2x/dt + ω2x = 0
d) d2x/dt – ω2x = 0
Q.12
For a body undergoing Simple Harmonic Motion, the acceleration is maximum at the extreme.
a) True
b) False
Q.13
Which of the following is the solution of the differential equation of the SIMPLE HARMONIC MOTION?
a) x = Acosωt + B sinωt
b) x = (A+B)cosωt
c) x = (A+B)sinωt
d) x = Atanωt + B sinωt
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