Home
Class 12
PHYSICS
Two ring of mass m and 2m are connected ...

Two ring of mass m and `2m` are connected with a light spring and can slide over two frictionless parallel horizontal rails as shown in figure. Ring of mass m is given velocity `'v_(0)'` in horizontal direction as shown. Calculate the maximum stretch in spring during subsequent motion.

A

(a)`sqrt((m)/(k)v_(0)`

B

(b)`sqrt((3m)/(k))v_(0)`

C

(c)`sqrt((2m)/(3k))v_(0)`

D

(d)`sqrt((2m)/(k))v_(0)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

A block of mass m moving with velocity v_(0) on a smooth horizontal surface hits the spring of constant k as shown. The maximum compression in spring is

Two blocks of masses m and m' are connected by a light spring on a horizontal frictionless table . The spring is compressed and then released . Find the ratio of acceleration of masses .

Two blocks each of mass m are connected over two light and frictionless pulleys and a fixed wedge by a light string as shown in figure. The tension in the string 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 :-

Two blocks of mass m_(1) and m_(2) (m_(1) lt m_(2)) are connected with an ideal spring on a smooth horizontal surface as shown in figure. At t = 0 m_(1) is at rest and m_(2) is given a velocity v towards right. At this moment, spring is in its natural length. Then choose the correct alternative :

Two blocks of mass m_(1) and m_(2) (m_(1) lt m_(2)) are connected with an ideal spring on a smooth horizontal surface as shown in figure. At t = 0 m_(1) is at rest and m_(2) is given a velocity v towards right. At this moment, spring is in its natural length. Then choose the correct alternative :

Four massless springs whose force constants are 2k, 2k, k and 2k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction.

A small bob mass 'm' is suspended by a massless string from a cart of the same mass 'm' as shown in the figure. The friction between the cart and horizontal ground is negligible. The bob is given a velocity V_(0) in horizontal direction as shown. The maximum height attained by the bob is , ( initially whole system ( bob + string + cart ) was at rest ) .

Two blocks of masses in and 4m lie on a smooth horizontal surface connected with a spring in its natural length. Mass m is given velocity v_(0) through an impulse as shown in Fig. Which of the following is not true about subsequent motion?

A dumbbell consists of two balls A and B of mass m=1 kg and connected by a spring. The whole system is placed on a smooth horizontal surface as shown in the figure. Initially the spring is at its natural length, the ball B is imparted a velocity v_(0)=8/(sqrt(7))m//s in the direction shown. The spring constant of the spring is adjusted so that the length of the spring at maximum elongation is twice that of the natural, length of the spring. Find the maximum potential energy stored (in Joule) in the spring during the motion.