Question 2 :
A simple harmonic oscillator has a period T and energy E. The amplitude of the oscillator is doubles. Choose the correct answer.
Question 3 :
The damping force on a oscillator is directly proportional to the velocity. The Unit of the constant of proportionality are:
Question 4 :
A body is executing SHM. If the force acting on the body is 6N when the displacement is 2 cm, then the force acting on the body when the displacement is 3 cm in newton is:<br/>
Question 5 :
The bob of a pendulum executes SHM with an angular frequency $\omega$. The total energy of the bob at an instant of time t is
Question 6 :
"A bird flapping its wings circles around a clock tower". Which part of the motion is periodic and oscillatory ?
Question 7 :
For a particle in SHM the K.E. at any instant is given by K= k $ cos^{2}\omega t $ . The total energy of SHM is
Question 9 :
If the time period of a pendulum is $25 s$. What is the frequency of the pendulum?
Question 10 :
The natural angular frequency of a particle of mass 'm' attached to an ideal spring of force constant 'K' is
Question 11 :
An object of mass '$m$' is kept on a horizontal platform. The platform is oscillating vertically with amplitude '$a$' and period '$T$'. The weight of object at lowest position is:
Question 12 :
The velocity of a particle under going SHM at the mean position is $2{ms}^{-1}$. The velocity of the particle at the point where the displacement from the mean position is equal to half the amplitude is
Question 13 :
A mass of 1 kg is suspended from a spring of force constant 400 N, executing SHM total energy of the body is 2J, then maximum acceleration of the spring will be
Question 15 :
A particle is performing SHM with time period T equals to $\frac{2\pi}{5}s$. The amplitude of the particle is $2\ cm$. Calculate the maximum velocity of the particle:<br/>
Question 16 :
The displacement of a S.H.M. doing particle when K.E.= P.E. (Amplitude = 4 cm) is :
Question 17 :
U is the PE of an oscillating particle and F is the force acting on it at a given instant. Which of the following is true ?
Question 18 :
The masses of 15kg . 10 kg and 5 kg are suspended vertically as shown in the figure. If the string attached to the support breaks and the system falls freely. what will be the tension in the string between 10 kg and 5 kg masses? Take $g= 10m{ s }^{ -2 }$. It is assumed that the string remains straight during the motion<br/>
Question 19 :
A spring of force constant $k$ is cut into lengths of ratio $1:2:3$. They are connected in series and the new force constant is $k'$. Then they are connected in parallel and force constant is $k''$. Then $k':k''$ is
Question 20 :
In simple harmonic motion, loss of kinetic energy is proportional to
Question 21 :
A body of mass $5 \ gram$ is executing S.H.M. about a fixed point $O$. With an amplitude of $10 \ cm$, its maximum velocity is $100 \ cm/s$. Its velocity will be $50 \ cm/s$ at a distance (in $cm$):
Question 22 :
A mass '$m_1$' connected to a horizontal spring performs S.H.M. with amplitude 'A'. While mass '$m_1$' is passing through mean position another mass '$m_2$' is placed on it so that both the masses move together with amplitude '$A_1$'. The ratio of $\dfrac{A_1}{A}$ is $(m_2 < m_1)$
Question 23 :
The differential equation representing the SHM of a particule is $\cfrac {{9d^2y}} {dt^2} +4Y=0.$The time period of the particle is fiven by
Question 24 :
A particle moves along a straight line such that its displacement(s) at any time(t) is given by $S=t^3-3t^2+2$. The velocity of the particle when its acceleration zero is?
Question 25 :
The time taken by a particle performing S.H.M. to pass from point A to B where its velocities are same is $2$ seconds. After another $2$ seconds, it returns to B. Determine the time period of oscillation is (in seconds).
Question 26 :
A diatomic molecule has atoms of masses $m_1$ and $m_2$. The potential energy of the molecule for the interatomic separation r is given by V (r) = - A + B ($r$ - $r_o$)$^2$, where $r_o$ is the equilibrium separation, and A and B are positive constants. The atoms are compressed towards each other from their equilibrium positions and released. What is the vibrational frequency of the molecule? 
Question 27 :
A spring-mass oscillator has a total energy $E_{0}$ and an amplitude $x_{0}$. For what value of $x$ will $K=U$?<br/>
Question 28 :
How high is the saddle surface above the equilibrium position when you first become air borne?<br>
Question 29 :
A particle executing simple harmonic motion has an angular frequency of 6.28 $\displaystyle s^{-1}$ and amplitude of 10 cm, find the speed at t = 1/6 s assuming that the motion starts from rest at t = 0.
Question 30 :
A spring mass system oscillates with a frequency $v$. If it is taken in an elevator slowly accelerating upward, the frequency will:
