Home
Class 11
PHYSICS
A 5 - kg block sides down a plane inclin...

A `5 - kg` block sides down a plane inclined at `30^(@)` to the horizontal. Find
(a) The acceleration of the block if the plase is frictionless
b. The acceleration if the coefficient of kinetic friction is `1//2sqrt(3)`

Text Solution

Verified by Experts

a. `mg sin 30^(@) = ma`
`a = g sin 30^(@)= 5 ms^(-2)` down the plane if plane is smooth M

b.`mg sin 30^(@) - mu_(k)N = ma`
`a = g sin 30^(@ )- mu_(k)g cos 30^(@) = 5//2 ms^(-2)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS|Exercise Solved Examples|12 Videos

  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS|Exercise Exercise 7.1|25 Videos

  • NEWTON'S LAWS OF MOTION 1

    CENGAGE PHYSICS|Exercise Integer|5 Videos

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|2 Videos

Similar Questions

Explore conceptually related problems

A 5kg block slides down a plane inclined at 30^(@) to the horizontal. Find (a) The acceleration of the block if the plane is frictionless (b) The acceleration if the coefficient of kinetic friciton is 0.2

A block slides down an incline of angle 30^(@) with an acceleration of g//4 Find the coefficient of kinetic friction .

Knowledge Check

  • The acceleration of 10 kg block on the inclined plane is

    A
    zero
    B
    `4 m//s^(2)`
    C
    `6 m//s^(2)`
    D
    None of these

  • A block slides down a plane. Inclined at 30^(@) to the horizontal, with an acceleration a. A disc rolling without slipping down the same inclined plane would have an acceleration

    A
    `(1)/(3)` a
    B
    `(1)/(2)` a
    C
    `(2)/(3)` a
    D
    `(5)/(7)` a

  • A body is sliding down an inclined plane forming an angle 30^(@) with the horizontal. If the coefficient of friction is 0.3 then acceleration of the body is

    A
    `1.25 ms^(-2)`
    B
    `2.35 ms^(-2)`
    C
    `3.4 ms^(-2)`
    D
    `4.9 ms^(-2)`

    • Similar Questions

    Explore conceptually related problems

    It takes a block twice as long to slide down a plane incline at 45^(@) to the horizontal as it would take for it to slide down the same plane had the plane been frictionless. Colculate the coefficient of friction between block and inclined plane.

    Acceleration of block A varies with time as shown in figure the value of coefficient of kinetic friction between block A and B is

    A block is placed on the top of a plane inclined at 37^@ with horizontal. The length of the plane is 5m . The block slides down the plane and reaches the bottom. a. Find the speed of the block at the bottom if the inclined plane is smooth. b. Find the speed of the block at the bottom if the coefficient of friction is 0.25 .

    A body is sliding down an inclined plane forming an angle 30^(@) with the horizantal. If the coefficient of friction is 0.3 then acceleration of the body is

    Two blocks 4 kg and 2 kg are sliding down an incline plane as shown in fig The acceleration of 2 kg block is:

    Home
    Profile