Home
Class 11
PHYSICS
Force F is graduallly increased from zer...

Force `F` is graduallly increased from zero .Determine whether the block will first slide or lift up?

A

Slide

B

Lift

C

Cannot be determined

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
There is minimum magnitude of force required both in horizontal and verticle direction either to side ao lift up the block will first slide or lift up will depend apon which miximum magnitude of force is lesser

For verticle to start litting up
`F sin 37^(@) + N ge Mg`
`N` becomes zero just lifting condition
`F ge (Mg)/(sin 37^(@))`
`F_("lift") ge (10g)/(3//5) or F_("lift") ge (500)/(3) N`
For horizontal direction to starrt sliding
`F cos 37^(@) ge mu_(s)N`
`F cos 37^(@) gt 0.5[10g - F sin 37^(@)]`
`( :' N = 10g - F sin 37^(@))`
Hence `F _("slide") gt (50)/(cos 37^(@) + 0.5 sin 37^(@))`
` F _("slide") gt (500)/(11)N`
`F_("lift") gt (500)/(3) rArr F_("slide") lt F_("lift")`
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 block of mass m placed on an incline just begins to slide when inclination of the incline is made theta_(0) = 45^(@) . With inclination equal to theta = 30^(@) , the block is placed on the incline. A horizontal force (F) parallel to the surface of the incline is applied to the block. The force F is gradually increased from zero. At what angle a to the force F will the block first begin to slide?

In Fig force F is gradually increased from zero Draw the graph between applied force F and tension T is the string . The coefficient of string friction between the block and the ground is mu_(s)

Knowledge Check

  • A block is being pulled by a force F on a long frictionless level floor. Magnitude of the force is gradually increases from zero until the block lifts off the floor. Immediately before the block leaves the floor, its acceleration is

    A
    `g costheta`
    B
    `gcottheta`
    C
    `gsintheta`
    D
    `g tan theta`

  • A block A (5kg) rests over another block B (3kg) placed over a smooth horizontal surface. There is friction between A and B. A horizontal force F_1 gradually increasing from zero to a maximum is spplied to A so that the blocks move together without relative motion. Instead of this wanother horizontal force F_2 , gradually increasing from zero to a maximum is spplied to B so that the blocks move together without relative motion. Then

    A
    `F_1(max)==f_2(max)`
    B
    `F_1(max)gtF_2(max)`
    C
    `F_1(max)ltF_2(max)`
    D
    `F_1(max)`:`F_2(max)=5:3`

  • A block of mass m is resting on an inclined plane. The inclination of the plane to the horizontal is gradually increased. It is found that when angle of inclination is theta , the block just begins to slide down the plane. What is the minimum force F applied parallel to the plane that would just make the block move up the plane?

    A
    `2mg sin theta`
    B
    `mg sin theta`
    C
    `mg cos theta`
    D
    `2 mg cos theta`

    • Similar Questions

    Explore conceptually related problems

    A vertical spring supports a block in equilibrium. The spring is designed to break when extension in it crosses a limit. There is a light thread attached to the block as shown. The thread is pulled down with a force F which gradually increases from zero. The spring breaks when the force becomes F_0 . Instead of gradually increasing the force, if the thread were pulled by applying a constant force, for what minimum value of the constant force the spring will break?

    If force F is gradually increased from zero to 50 N , tehn (a) find the minimum contact force, (b) find the maximum value of angle of friction when F = 30 N , (d) find the angle of friction when the block is moving with constant velocity and ( e) sketch a graph between friction and applied force.

    In the figure shown, horizontal force F_(1) is applied on a block but the block does not slide. Then as the magnitude of vertical force F_(2) is increased from zero the block begins to slide, the correct statement is

    A block of mass m is resting on an inclined plane as shown in figure. The inclination of the plane to the horizontal is gradually increased. It is found that when angle of inclination is theta the block just begins to slide down the plane, Find the minimum force F applied parallel to the plane that would just make the block move up the plane.

    The force magnitude F is slowly increased. What is its value just before the block is lifted (completely) off the floor ?

    Home
    Profile