Home
Class 11
PHYSICS
A spring with one end attached to a mass...

A spring with one end attached to a mass and the other to a right support is stretched and released

A

Magnitude of acceleration, when just released is maximum

B

Magnitude of acceleration, when at equilibrium position, is maximum

C

Speed is maximum when is at equilibrium position

D

Magnitude of displacement is always maximum whenever speed is minimum

Text Solution

Verified by Experts

The correct Answer is:
A, C
When spring is stretched by x, restoring force will be `F = - kx`
Potential energy of the stretched spring `= PE = 1/2 kx^(2)`
The restoring force is central hence, when particles relased it will executes SHM about equilibrium position.
Acceleration will be , `a = F/m = (-kx)/(m)`
At equilibrium position, `x = 0 rArr a = 0`
Hence, when just released , `x = x_(max)`
Hence, acceleration is maximum. Thus options (a) is correct
Hence, acceleration is maximum. Thus option (a) is correct.
At equilibrium whole PE will be converted to KE hence, KE will be maximum and hence, speed will be maximum.
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A STRAIGHT LINE

    NCERT EXEMPLAR ENGLISH|Exercise Very Short Answer Type Qns|14 Videos

  • MOTION IN A STRAIGHT LINE

    NCERT EXEMPLAR ENGLISH|Exercise Very Short Answer Type Qns|14 Videos

  • MOTION IN A PLANE

    NCERT EXEMPLAR ENGLISH|Exercise Multiple Choice Questions|37 Videos

  • OSCILLATIONS

    NCERT EXEMPLAR ENGLISH|Exercise All Questions|36 Videos

Similar Questions

Explore conceptually related problems

Figure a) shows a spring of force constant k clamped rigidly at once end and a mass m attached to its free end. A force F applied at the free end stretches the spring. Figure b) shows the same spring with both ends free and attached to a mass m at either end. Each end of the spring in figure is stretched by the same force F. (a) What is the maximum extension of the spring in the two cases ? (b) If the mass in figure and the two masses in figure are released free, what is the period of oscillation in each case?

Figure a) shows a spring of force constant k clamped rigidly at once end and a mass m attached to its free end. A force F applied at the free end stretches the spring. Figure b) shows the same spring with both ends free and attached to a mass m at either end. Each end of the spring in figure is stretched by the same force F. (a) What is the maximum extension of the spring in the two cases ? (b) If the mass in figure and the two masses in figure are released free, what is the period of oscillation in each case?

Tow identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in figure. When the mass is displaced from equilibrum position by a distance x towards right, find the restoring force.

Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in the figure. The time period of oscillation is

A string of length 40 cm and weighing 10 g is attached to a spring at one end and to a fixed wall at the other end. The spring has a spring constant of 160 N m^-1 and is stretched by 1.0 cm. If a wave pulse is produced on the string near the wall, how much time will it take to reach the spring ?

A string of length 40 cm and weighing 10 g is attached to a spring at one end and to a fixed wall at the other end. The spring has a spring constant of 160 N m^-1 and is stretched by 1.0 cm. If a wave pulse is produced on the string near the wall, how much time will it take to reach the spring ?

Figure. (a) shows a spring of force constant k fixed at one end and carrying a mass m at the other end placed on a horizontal frictionless surface. The spring is stretched by a force F. Figure. (b) shows the same spring with both endsf free and a mass m fixed at each free end Each of the spring is streched by the same force F. The mass in case (a) and the masses in case (b) are then released. Which of the following statements are true?

A point mass 200 gm is attached to one end of string and the other end is attached to a nail. The mass is made to rotate in a circle of radius 20 cm. What is the moment of inertia of the particle about the axis of rotation ?

Two springs are joined and attached to a mass of 16 kg. The system is then suspended vertically from a rigid support. The spring constant of the two spring are k_1 and k_2 respectively. The period of vertical oscillations of the system will be

l=24+3.5m One end of a spring is attached to a ceiling. When an object of mass m kilograms is attached to the other end of the spring, the spring stretches to a length of l centimeters as shown in the equation above. What is m when l is 73 ?