Home
Class 12
PHYSICS
A block of mass m kg is pushed up agains...

A block of mass m kg is pushed up against a wall by a force P that makes an angle `'theta'` with the horizontal as shown in figure. The coefficient of static friction between the block and the wall is `mu`. The minimum value of P that allows the block to remain stationary is

Text Solution

Verified by Experts

`P sin theta + f=mg`
`f=(mg-P sin theta)`
`mu N =(mg-P sin theta)`
`mu P cos theta = mg-P sin theta`
`P[sin theta+mu cos theta]=mg`
`P=(mg)/((sin theta + mu cos theta))`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LAWS OF MOTION

    AAKASH SERIES|Exercise EXERCISE - I|151 Videos

  • LAWS OF MOTION

    AAKASH SERIES|Exercise EXERCISE - II|117 Videos

  • LAWS OF MOTION

    AAKASH SERIES|Exercise QUESTIONS FOR DESCRIPTIVE ANSWER|5 Videos

  • GEOMETRICAL OPTICS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|6 Videos

  • LOGIC GATES

    AAKASH SERIES|Exercise Exercise (Very Short Answer)|16 Videos

Similar Questions

Explore conceptually related problems

A block of mass 1 kg is pressed against a wall by applying a horizontal force of 10N on the block. If the coefficient of friction between the block and the wall is 0.5, magnitude of the frictional force acting on the block is

A block of mass 1 kg is pressed against a wall by applying a horizontal force of 10 N on the block. If the coefficient of friction between the block and the wall is 0.5, magnitude of the frictional force acting on the block is

Knowledge Check

  • A block of mass m is in contact with the cart C as shown in the figure. The coefficient of static friciton between the block and the cart is mu . The acceleration a of the cart that will prevent the block from falling statisfies.

    A
    `a gt (mg)/mu`
    B
    `a gt g/(mu m)`
    C
    `alpha ge g/mu`
    D
    `alpha lt g/mu`

  • A block of mass 5 kg is kept against an accelerating wedge with a wedge angle of 45^(@) to the horizontal. The coefficient of friction between the block and the wedge is mu = 0.4 . What is the minimum absolute value of the acceleration of the wedge to keep the block steady? [Assume, g = 10 m/s^(2) ]

    A
    `(60)/(7)m//s^(2)`
    B
    `(30)/(7)m//s^(2)`
    C
    `(30)/(sqrt(7))m//s^(2)`
    D
    `(60)/(sqrt(7))m//s^(2)`

  • A block of mass 'm' rests on a rough inclined plane making an angle 30^(@) with the horizontal, The coefficient of static friction between the block and the plane is 0.8. If force of friction on the block is 10N, the mass of the block is (g = 10 m/ s^2)

    A
    0.2 kg
    B
    0.4 kg
    C
    0.8 kg
    D
    2 kg

    • Similar Questions

    Explore conceptually related problems

    A body is pushed against vertical wall as shown. If the coefficient of friction between the body and the wall is 0.5, the magnitude of acceleration of the block is 10 K. Where K is

    A block on table shown in figure is just on the wedge of slipping. Find the coefficient of static friction between the block and table top

    A block on table shown in figure is just on the wedge of slipping. Find the coefficient of static friction between the block and table top.

    A block of mass 'm' rests on a rough inclined plane making an angle 30^(@) with the horizontal. The coefficient of static friction between the block and the plane is 0.8. If force of friction on the block is 10N, the mass of the block is (g=10 m//s^(2))

    A wooden block of mass M resting on a rough horizontal surface is pulled with a force T at an angle q to the horizontal. If m is coefficient of kinetic friction between the block and the surface, the acceleration of the block is

    Home
    Profile