Home
Class 9
PHYSICS
A ladder of mass 10 kg is resting with i...

A ladder of mass 10 kg is resting with its top end touching a vertical wall and the bottom end on the floor. If the angle between the ground and the ladder is 45°, find the horizontal force required at the bottom to prevent the ladder from sliding. Neglect friction and take `g = 10 ms^(-2)`.

Text Solution

Verified by Experts

Let `R_(1), R_(2)` be the reaction forces `F to ` horizontal force
`W to` weight
Since `theta = 45^(@), OA = OB =x`
To prevent sliding, net moment must be zero.

`R_(1) =F` and `R_(2) =W`, for translational equilibrium
Let us take moments about A.
`therefore` Moment of `R_(1)` is zero.
Total clockwise moment `=W xx (OB)/2 + F xx OA`
Total anticlockwise moment = `R_(2) xx OB = W_(x)`
For rotational equilibrium, total clockwise moment = anticlockwise moment or F = 50 N
Promotional Banner

Topper's Solved these Questions

  • STATICS

    CENGAGE PHYSICS|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES|9 Videos

  • STATICS

    CENGAGE PHYSICS|Exercise CONSOLIDATED EXERCISE |3 Videos

  • SOUND

    CENGAGE PHYSICS|Exercise OLYMPIAD AND NTSE LEVEL EXERCISE|10 Videos

  • UNITS AND MEASUREMENT

    CENGAGE PHYSICS|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES |8 Videos

Similar Questions

Explore conceptually related problems

A ladder is resting with one end on a vertical wll and the other end on a horizontal floor. Is it more likely to slip when a man stnads near the bottom or near the top?

A ladder of mass 10kg is held at reat against a smooth wall on a rough ground as shown in figure. The normal reaction between the wall and the ladder is

Aladder of 5 m long rest with one end against a vertical wall of height 3 m and the other end on the lower ground. If its top slides down at the rate of 10 cm/sec, find the rate at which the foot of the ladder is sliding.

A ladder of mass 20 kg is resting against a vertical smooth wall. Ladder makes an angle 37° with the wall. Other end of the ladder is resting on a rough horizontal floor. Find normal force and force of friction applied on the ladder by horizontal surface.

A ladder of length 17m rests with one end agains a vertical wall and the other on the vessel ground. If the lower end slips away at the rate of 1ms^(-1) , then when it is 8m away from the wall, its upper end is coming down at the rate of

A uniform ladder of mass 10 kg leans against a smooth vertical wall making an angle of 53^0 with it. The other end rests on a rough horizontal floor. Find the normal force and the frictional force that the floor exerts on the ladder

A ladder 5 m long leans against a vertical wall. The bottom of the ladder is 3m from the wall. If the bottom of the ladder is pulled 1 m farther from the wall, how much does the top of the ladder slide down the wall

A ladder 12units long slides in a vertical plane with its ends in contact with a vertical wall and a horizontal floor along x-axis.The locus of a point on the ladder 4 units from its foot has the equation:

A ladder of length L is slipping with its ends against a vertical wall and a horizontal floor. At a certain moment, the speed of the end in contact with the horizontal floor is v and the ladder makes an angle theta=30^@ with horizontal. Then, the speed of the ladder's centre of mass must be

A ladder of length l and mass m is placed against a smooth vertical wall, but the ground is not smooth. Coefficient of friction between the ground and the ladder is mu . The angle theta at which the ladder will stay in equilibrium is