Home
Class 11
PHYSICS
A mass m is attached with rods as shown ...

A mass `m` is attached with rods as shown in figure. This mass is slightly stretched and released whether the motion of mass is S.H.M. if yes then find out the time period.

Text Solution

Verified by Experts

Here `k_(eq)=(k_(1)k_(2))/(k_(1)+k_(2))andT=2pisqrt((m)/(k_(eq)))=2pisqrt((m(k_(1)+k_(2)))/(k_(1)k_(2)))` where `k_(1)=(A_(1)Y_(1))/(l_(1)) and k_(2)=(A_(2)Y_(2))/(l_(2))`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 1 (Elasticity)|16 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 1 (Surface Tension)|21 Videos

  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-V B|19 Videos

  • ERROR AND MEASUREMENT

    ALLEN |Exercise Part-2(Exercise-2)(B)|22 Videos

Similar Questions

Explore conceptually related problems

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

A mass m is attached to a spring. The spring is stretched to x by a force F and refeased. After being released, the mass comes to rest at the initial equilibrium position. The coeffiecient of friction, mu_(k) , is :-

A mass (M) is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes (5T)/3 . Then the ratio of m/M is .

A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes simple harmonic oscillation with a time period T. If the mass is increased by m, the time period becomes ((5)/(4)T) . The ratio of (m)/(M) is...........

Two masses A and B of mass M and 2M respectively are connected by a compressed ideal spring. The system in placed on a horizontal frictionless table and given a velocity uhat(k) in the z-direction as shown in the figure. The spring is then released. In the subsequent motion the line from B to A alwyas points along the hat(i) unit vector. All some instant of time mass B has a x-component of velocity as v_(x)hat(i) . The velocity vec(v)_(A) of mass A at that instant is :-

A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass when the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5s. The value of m in kg is...........

A mass of 2kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in figure. The mass of the spring and the pan is negligible. When spring is pressed and released the mass executes a simple harmonic motion. The spring constant is 200 N"/"m . What should be the minimum amplitude of the motion so that the mass gets detached from the pan? (take g= 10 m"/"s^(2) )

A disc of mass m and radius r is free to rotate about its centre as shown in the figure. A string is wrapped over its rim and a block of mass m is attached to the free end of the string. The system is released from rest. The speed of the block as it descends through a height h, is :-

A ball of mass m kept at the centre of a string of length L is pulled from centre in perpendicular direction and released. Prove that motion of ball is simple harmonic and determine time period of oscillation

In space of horizontal EF (E = (mg)//q) exist as shown in figure and a mass m is released at the end of a light rod. If mass m is releases from the position shown in figure find the angular velocity of the rod when it passes through the bottom most position .