Home
Class 11
PHYSICS
Find the acceleration of each block in t...

Find the acceleration of each block in the situation shown in the figure. All the surface are smooth and the pulleys and sttings are light.

Text Solution

Verified by Experts

In this problem, two blocks are moving with different acceleration because they travel different distances in same time. If blocks travel different distances in same time. Their accelerations are proportional to distance travelled.
Considwer the motion of pulley `B`, if it goes down by a distance `x_(0)`, the block of mass `2m` will also move by `x_(0)` but the block of mass `m` will move by `2x_(0)`. If an acceleration of `2m` is `a`, the acceleration of `m` will be `2a`

`2m:darr:2mg-2T=2ma` (i)
`mrarr:T=mxx2a` (ii)
From (i) and (ii)
`2mg-4ma=2marArr6ma=2mgrArra=(g)/(3)`
Acceleration of `2m:(g)/(3)`
`m:(2g)/(3)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NEWTONS LAWS OF MOTION

    CP SINGH|Exercise EXERCISES|84 Videos

  • NEET PREVIOUS YEAR

    CP SINGH|Exercise Solved Questions|64 Videos

  • RELATIVE MOTION

    CP SINGH|Exercise EXERCISE|33 Videos

Similar Questions

Explore conceptually related problems

Find the acceleration of the block of mass M in the situation shown in figure. All the surfaces are frictionless.

find the acceleration of the block of mass M in the situation shown in figure. All the surfaces are frictionless and the pulleys and the string are light.

Knowledge Check

  • Consider the situation shown in figure. All the surface are smooth. The tension in the string connected to 2m is.

    A
    `(mg)/(3)`
    B
    `(4mg)/(3)`
    C
    `(2mg)/(3)`
    D
    `mg`

  • Find the acceleration of the 6 kg block in the figure. All the surfaces and pulleys are smooth. Also the strings are inextensible and light. [Take g = 10 m//s^(2) ] .

    A
    `3 m//s^(2)`
    B
    `4 m//s^(2)`
    C
    `5 m//s^(2)`
    D
    `2 m//s^(2)`

  • The acceleration of small block m with respect to ground is (all the surface are smooth):

    A
    g
    B
    `g//2`
    C
    Zero
    D
    `sqrt(2)g`

    • Similar Questions

    Explore conceptually related problems

    Find the acceleration of the blocks A and B in the three situations shown in figure.

    In the diagram shown in figure ,all pulleys are smooth and massless and stings are light . Match the following

    Consider the situation as shown in the figure. All the surface are smooth and the string and pulley are light. Find the mass of the hanging block which will prevent the smaller block form slipping over the triangular block.

    The acceleration of the block (A) and (B) respectively in situation shown in the figure is: (pulleys and string are massless).

    Consider the situation shown in the figure. The wall is smooth but the surfaces of A and B in contact are rough. Then,

    Home
    Profile