A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the pendulum at x = a/2 will be ___________
a) (πa√3)/T
b) (πa√3)/2T
c) πa/T
d) (3π2 a)/T
Q.2.
A body is executing simple harmonic motion. When the displacements from the mean position are 4cm and 5cm, the corresponding velocities of the body are 10cm/sec and 8cm/sec. Thenwhat is the time period of the body?
a) 2π sec
b) π/2 sec
c) π sec
d) 3π/2 sec
Q.3.
The total energy of a particle performing simple harmonic motion depends on ___________
a) k, a, m
b) k, a
c) k, a, x
d) k, x
Q.4.
The particle executing simple harmonic motion has a kinetic energy K0 cos2 ωt. The maximum values of the potential energy and the total energy are respectively ___________
a) Kc/2 and K0
b) K0 and K0
c) K0 and 2K0
d) 0 and 2K0
Q.5.
A linear harmonic oscillator of force constant 2×N/m and amplitude 0.has a total mechanical energy of 160J. Its ___________
a) Potential energy is 160 J
b) Potential energy is zero
c) Potential energy is 100J
d) Potential energy is 120J
Q.6.
The potential energy of a simple harmonic oscillation when the article is halfway to its end point is ___________
a) 2/3 E
b) 1/8 E
c) 1/4 E
d) 1/2 E
Q.7.
In a simple harmonic motion, when the displacement is one half the amplitude, what fraction of the total energy is kinetic?
a) 1/2
b) 3/4
c) Zero
d) 1/4
Q.8.
A body executes simple harmonic motion with amplitude A. At what displacement from the mean position is the potential energy of the body one fourth of its total energy?
a) A/4
b) A/2
c) 3A/4
d) Some other fraction of A
Q.9.
A loaded vertical spring executes simple harmonic motion with a time period of 4 sec. The difference between the kinetic energy and potential energy of this system varies with a period of?
a) 2 sec
b) 1 sec
c) 8 sec
d) 4 sec
Q.10.
A mass m is vertically suspended from a spring of negligible mass; the system oscillates with a frequency n. What will be the frequency of the system, if a massis suspended from the same spring?
a) n/2
b) 4n
c) n/4
d) 2n
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