In order to lift a heavy block A, an eng...

In order to lift a heavy block A, an engineer has designed a wedge system as shown. Wedge C is fixed. A horizontal force F is applied to B to lift block A. Wedge B itself has negligible mass and mass of A is M. The coefficient of friction at all surfaces is `mu`. Find the value of applied force F at which the block A just begins to rise.

Text Solution

Verified by Experts

The correct Answer is:

`F = (Mg)/(1 - mu^(2))[mu + (mu"cos"theta + "sin"theta)/("cos"theta - mu"sin"theta)]`

Topper's Solved these Questions

MOMENTUM AND CENTRE OF MASS
ARIHANT|Exercise Momentum And Center of Mass|117 Videos
ROTATIONAL MOTION
ARIHANT|Exercise PHYSICS|159 Videos

Similar Questions

Explore conceptually related problems

A homogenous block of mass m, width b and height h is resting on a rough horizontal surface A horizontal force F is applied to it , which makes it to move with a constant velocity . The coefficient of friction between block and surface is mu Find the greatest height at which force F may be applied to slide the block with out tipping over

A block rests on a horizontal surface. A horizontal force F is applied to the block. The acceleration (a) produced in the block as a function of applied force (F) has been plotted in a graph (see figure). Find the mass of the block.

Two blocks of Masses M and 2M are connected by a spring of stiffness k .The coefficient of friction between the blocks and the surface is mu Find the minimum constant force F to be applied to 2m in order to slide the mass M .

A block of mass m is lying on horizontal surface of coefficient of friction mu. A force is applied to the block at an angle theta with the horizontal. The block will move with a minimum force F if

A triangular wedge is placed on smooth horizontal surface. A block is placed on wedge as shown in the figure. Coefficient of friction between block and wedge is mu . Initially system reamins at rest.

A block B is placed over a cart which in turn lies over a smooth horizontal floor. Block A and Block C are connected to block B with light inextensible strings passing over light frictionless pulleys fixed to the cart as shown. Initially the blocks and the cart are at rest. All the three blocks have mass m and the cart has mass M(M=3m) . Now a constant horizontal force of magnitude F is applied to block A towards right. Q. Let the coefficient of friction between block B and cart is mu(mugt0) and friction is absent everywhere else. Then the maximum value of force F applied to block A such that there is no relative acceleration between block B and cart is

A block of mass m is placed on a wedge of mass M and a force F is acting on it as shown . If all surface are smooth , find the force F such that , there is no relative motion between m and M .

A block of mass m is placed on a wedge of mass M and a force F is acting on its as shown . If all surfaces are smooth , find the force F such that, there is no relative motion between m and M.

A wedge of mass M makes an angle theta with the horizontal. The wedge is placed on horizontal frictionless surface. A small block of mass m is placed on the inclined surface of wedge. What horizontal force F must be applied to the wedge so that the force of friction between the block and wedge is zero ?

ARIHANT-NEWTONS LAWS OF MOTION-All Questions

An experimenter is inside a uniformly accelerated train. Train is movi...
Text Solution
|
Two hemispheres of radii R and r(lt R) are fixed on a horizontal table...
Text Solution
|
In order to lift a heavy block A, an engineer has designed a wedge sys...
Text Solution
|
A 60 kg platform has been placed on a rough incline having inclination...
Text Solution
|
In the system show in figure, mass of the block placed on horizontal s...
Text Solution
|
In the arrangement shown in the figure, block A of mass 8 kg rests on ...
Text Solution
|
In the arrangement shown in figure, pulley and string are light. Frict...
Text Solution
|
In the arrangement shown in figure pulley P can move whereas other two...
Text Solution
|
A rope of length ((pi)/(2) + 1) R has been placed on a smooth spher...
Text Solution
|
A uniform rope has been placed on a sloping surface as shown in the fi...
Text Solution
|
A uniform rope ABCDE has mass M and it is laid along two incline surfa...
Text Solution
|
(i) Four small blocks are interconnected with light strings and placed...
Text Solution
|
A metal disc of radius R can rotate about the vertical axis passing th...
Text Solution
|
A sphere of mass M is held at rest on a horizontal floor. One end of a...
Text Solution
|
A light rod AB is fitted with a small sleeve of mass m which can slide...
Text Solution
|
A metallic hemisphere is having dust on its surface. The sphere is rot...
Text Solution
|
Civil engineers bank a road to help a car negotiate a curve. While des...
Text Solution
|
A turn of radius 100 m is banked for a speed of 20 m/s (a) Find t...
Text Solution
|
A horizontal circular turning has a curved length L and radius R. A ca...
Text Solution
|
A 70 kg man enters a lift and stands an a weighing scale inside it. At...
Text Solution
|