A block P of mass m is placed on a frictionless horizontal surface. Another block Q of same mass is kept on P and connected to the wall with the help of a spring of spring constant k as shown in the figure. μs is the coefficient of friction between P and Q. The blocks move together performing SHM of amplitude A. The maximum value of the friction force between P and Q will be:
1. kA
2.
3. Zero
4. μs mg
A simple pendulum has a time period when on the earth’s surface, and when taken to a height R above the earth’s surface, where R is the radius of the earth. The value of is:
1. 1
2.
3. 4
4. 2
The displacement of a particle along the x-axis is given by . The motion of the particle corresponds to:
1. | simple harmonic motion of frequency ω / π. |
2. | simple harmonic motion of frequency 3 ω / 2 π. |
3. | non-simple harmonic motion. |
4. | simple harmonic motion of frequency ω / 2 π. |
A body performs simple harmonic motion about x=0 with an amplitude a and a time period T. The speed of the body at will be:
1.
2.
3.
4.
Which one of the following equations of motion represents simple harmonic motion? (where \(k\), \(k_0\), \(k_1\) and α are all positive.)
1. Acceleration = -\(k_0\)
2. Acceleration = -
3. Acceleration = k
4. Acceleration = kx
Two simple harmonic motions of angular frequency 100 rad s -1 and 1000 rad have the same displacement amplitude. The ratio of their maximum acceleration will be:
1. 1:10
2. 1:102
3. 1:103
4. 1:104
A simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum, its acceleration vector is correctly shown in:
1. | 2. | ||
3. | 4. |
An SHM has an amplitude \(a\) and a time period \(T.\) The maximum velocity will be:
1. \({4a \over T}\)
2. \({2a \over T}\)
3. \({2 \pi \over T}\)
4. \({2a \pi \over T}\)
A particle is executing simple harmonic motion with frequency f. The frequency at which its kinetic energy changes into potential energy, will be:
1. f/2
2. f
3. 2 f
4. 4 f
In a simple pendulum, the period of oscillation T is related to length of the pendulum l as:
1. = constant
2. = constant
3. = constant
4. = constant