A wooden block is suspended from a spring. Its period for vertical oscillations is T. In a second experiment the same apparatus is laid on a horizontal frictionless table with the free end of the spring fixed to a nail on the table. The block is pulled a little so as to stretch the spring and then released. The mass will
Execute simple harmonic motion with period T
The expression for the time period for vertical as well as horizontal oscillation is the same.
Where m is the mass of the block and k is the force constant of the spring.
Figure shows the displacement-time graphs of two simple harmonic motions I and II. From the graphs it follows that the two motion I and II have
What is the phase difference between the two simple harmonic motions whose displacement-time graphs are shown in figure?
The displacement x (in metres) of a particle in simple harmonic motion is related to time t (in seconds) as
What is the frequency of the motion?
A simple pendulum of frequency n is taken up to a certain height above the ground and then dropped along with its support so that it falls freely under gravity. The frequency of oscillations of the falling pendulum will
A person measures the time period of a simple pendulum inside a stationary lift and finds it to be T. If the lift starts accelerating upwards with an acceleration of g/3, the time period of the pendulum will be
The length of a simple pendulum is increased by 44%. What is the percentage increase in its time period?
A hollow metallic sphere filled with water is hung from a support by a long thread. A small hole is made at the bottom of the sphere and it is oscillated. How will the time period of oscillations be affected as water slowly flows out of the hole?
A simple pendulum with a brass bob has a time period T. The bob is now immersed in a non-viscous liquid and oscillated. If the density of the liquid is 1/8 that of brass, the time period of the same pendulum will be
A simple pendulum of frequency f has a metal bob. If the bob is charged negatively and is allowed to oscillate with a positively charged plate placed under it, the frequency will
The speed of sound in hydrogen at STP is v. The speed of sound in a mixture containing 3 parts of hydrogen and 2 parts of oxygen at STP will be.