1.A particle executing simple harmonic motion has
an amplitude of 6 cm. Its acceleration at a
distance of 2 cm from the mean position is \[8 cm/s^{2}\] .
The maximum speed of the particle is
a) 8 cm/s
b) 12 cm/s
c) 16 cm/s
d) 24 cm/s
Explanation:
2. Two particles P and Q start from origin and
execute Simple Harmonic Motion along X-axis
with same amplitude but with periods 3 seconds
and 6 seconds respectively. The ratio of the
velocities of P and Q when they meet is
a) 1 : 2
b) 2 : 1
c) 2 : 3
d) 3 : 2
Explanation:
3.A particle is performing simple harmonic motion
with amplitude A and angular velocity \[\omega\]. The
ratio of maximum velocity to maximum
acceleration is
a) \[\omega\]
b) \[1/\omega\]
c) \[\omega^{2}\]
d) \[A\omega\]
Explanation:
4. The angular velocities of three bodies in simple
harmonic motion are \[\omega_{1},\omega_{2},\omega_{3}\] with their
respective amplitudes as \[A_{1},A_{2},A_{3}\] . If all the three
bodies have same mass and velocity, then
a) \[A_{1}\omega_{1}=A_{2}\omega_{2}=A_{3}\omega_{3}\]
b) \[A_{1}\omega_{1}^{2}=A_{2}\omega_{2}^{2}=A_{3}\omega_{3}^{2}\]
c) \[A_1^2\omega_{1}=A_2^2\omega_{2}=A_3^2\omega_{3}\]
d) \[A_1^2\omega_{1}^{2}=A_2^2\omega_{2}^{2}=A^2\]
Explanation:
5. The velocity of a particle performing simple
harmonic motion, when it passes through its
mean position is
a) Infinity
b) Zero
c) Minimum
d) Maximum
Explanation:
6. The velocity of a particle in simple harmonic
motion at displacement y from mean position is
a) \[\omega\sqrt{a^{2}+y^{2}}\]
b) \[\omega\sqrt{a^{2}-y^{2}}\]
c) \[\omega y\]
d) \[\omega^{2}\sqrt{a^{2}-y^{2}}\]
Explanation: \[\omega\sqrt{a^{2}-y^{2}}\]
7. A particle is executing the motion \[x=A \cos\left(\omega t - \theta\right)\] .
The maximum velocity of the particle is
a) \[A \omega \cos\theta\]
b) \[A \omega \]
c) \[A \omega \sin\theta\]
d) None of these
Explanation: \[A \omega \]
8. A particle executing simple harmonic motion with
amplitude of 0.1 m. At a certain instant when its
displacement is 0.02 m, its acceleration is 0.5 \[m/s^{2}\] .
The maximum velocity of the particle is (in m/s)
a) 0.01
b) 0.05
c) 0.5
d) 0.25
Explanation:
9. The amplitude of a particle executing SHM is 4
cm. At the mean position the speed of the particle
is 16 cm/sec. The distance of the particle from the
mean position at which the speed of the particle
becomes \[8\sqrt{3}\] cm /s ,will be
a) \[2\sqrt{3}cm \]
b) \[\sqrt{3}cm \]
c) 1cm
d) 2 cm
Explanation:
10. The maximum velocity of a simple harmonic
motion represented by \[y=3\sin\left(100t+\frac{\pi}{6}\right)\] is given
by
a) 300
b) \[\frac{3\pi}{6}\]
c) 100
d) \[\frac{\pi}{6}\]
Explanation:
