Home
Class 11
PHYSICS
Two identical small masses each of mass ...

Two identical small masses each of mass m are connected by a light inextensible string on a smooth horizontal floor. A constant force F is applied at the mid point of the string as shown in fig. find the acceleration of each mass towards each other.

A

`(F)/(2m)(a)/(sqrt(a^(2)-x^(2)))`

B

`(F)/(2m)-(x)/(sqrt(a^(2)-x^(2)))`

C

`(F)/(2m)(x)/(a)`

D

`(F)/(2m)(sqrt(a^(2)-x^(2)))/(x)`

Text Solution

Verified by Experts

The correct Answer is:
B
The arrangement is shown in the figure. The separation between the two masses is 2x. Each mass will move in the horizontal direction as shown in the figure.
Let the tension in the string be T. The forces acting t point P and on one of the masses are shown in the figure. Net force at point P must equal zero.
`therefore 2Tsin =F...(i) `
Also, for the mass m,
`N+T sin theta-mg=0 ....(ii)`
and `T cos theta=mA....(iii)`
Equations (i) and (iii) give `A=(F cot theta)/(2m)=(F)/(2m)((x)/(sqrt(a^(2)-x^(2))))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LAWS OF MOTION

    NCERT FINGERTIPS ENGLISH|Exercise Exemplar Problems|9 Videos

  • LAWS OF MOTION

    NCERT FINGERTIPS ENGLISH|Exercise Assertion & Reason|15 Videos

  • LAWS OF MOTION

    NCERT FINGERTIPS ENGLISH|Exercise Assertion And Reason|15 Videos

  • KINETIC THEORY

    NCERT FINGERTIPS ENGLISH|Exercise Assertion And Reason|10 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    NCERT FINGERTIPS ENGLISH|Exercise NCERT Exemplar|5 Videos

Similar Questions

Explore conceptually related problems

Two identical blocks A and B each of mass M are connected to each other through a light string. The system is placed on a smooth horizontal floor. When a constant force F is applied horizontally on the block A, find the tension in the string.

Two identical balls each of mass m interconnected by a small light inextensible string are kept on a smooth horizontal surface. One of the balls is pushed towards the other with a speed v_(0) find the loss of K.E. of the ball. What will be the final velocities of the balls ? (e=1).

Two blocks of masses m and M are connected by an inextensible light string . When a constant horizontal force acts on the block of mass M. The tension in the string is

In figure two identical particals each of mass m are tied together with an inextensible string. This is pulled at its centre wwith a constant force F . If the whole system lines on a smooth horizontal plane, then the aceleration of each partical towards each other is

Two samll sphere each of mass m connected by a string of length 2l are kept on a smooth horizontal surface. A vertical force F is applied at the middle of the string. What is maximum value of F for which the sphere do not lose contact with the surface?

Three identical cubes each of mass m are place on a smooth horizontal surface.A constant force F is applied on A as shown in the figure.The force on B applied by C is

Two identical small balls, each of mass m , are connected by a massless and inextensible string of length l and placed on a smooth horizontal xy plane. An external agent pulling the string from its mid-point along y -axis with velocity v_(0) as shown in Fig. When the separation between the two balls reduces to l//2 then the speed of each ball will be

Two particles A and B having equal mass are interconnected by a light inextensible string that passes over a smooth pulley. One of the amsses is pulled downward by a constant force 'F' as shown in diagram, then find the acceleration of the centre of mass of the system (A+B) .

Two particles each of mass m are connected by a light inextensible string and a particle of mass M is attached to the midpoint of the string. The system is at rest on a smooth horizontal table with string just taut and in a straight line. The particle M is given a velocity v along the table perpendicular to the string. Prove that when the two particles are about to collide : (i) The velocity of M is (Mv)/((M + 2m)) (ii) The speed of each of the other particles is ((sqrt2M (M + m))/((M + 2m)))v .

A block of mass 30 kg is suspended by three string as shown in fig, Find the tension in each string.

Home
Profile