Physics-
General
Easy

Question

An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle a with the vertical, the maximum possible value of a is given by :

  1. cot alpha = 3    
  2. tan alpha = 3    
  3. sec alpha = 3    
  4. cosec alpha = 3    

The correct answer is: cot alpha = 3

Related Questions to study

General
physics-

A 40 kg slab rests on a frictionless floor as shown in the figure. A 10 kg block rests on the top of the slab. The static coefficient of friction between the block and slab is 0.60 while the kinetic friction is 0.40. The 10 kg block is acted upon by a horizontal force 100 N. If g = 9.8 m/s2 , the resulting acceleration of the slab will be :

A 40 kg slab rests on a frictionless floor as shown in the figure. A 10 kg block rests on the top of the slab. The static coefficient of friction between the block and slab is 0.60 while the kinetic friction is 0.40. The 10 kg block is acted upon by a horizontal force 100 N. If g = 9.8 m/s2 , the resulting acceleration of the slab will be :

physics-General
General
physics-

A body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is µ. If the mass is pulled by a force P as shown in the figure, the limiting friction between body and surface will be :

A body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is µ. If the mass is pulled by a force P as shown in the figure, the limiting friction between body and surface will be :

physics-General
General
physics-

A block P of mass m is placed on a frictionless horizontal surface. Another block Q of same mass is kept on P and connected to the wall with the help of a spring of spring constant k as shown in the figure. µS is the coefficient of friction between P and Q. The blocks move together performing SHM of amplitude A. The maximum value of the friction force between P and Q is :

A block P of mass m is placed on a frictionless horizontal surface. Another block Q of same mass is kept on P and connected to the wall with the help of a spring of spring constant k as shown in the figure. µS is the coefficient of friction between P and Q. The blocks move together performing SHM of amplitude A. The maximum value of the friction force between P and Q is :

physics-General
parallel
General
physics-

What is the maximum value of the force F such that the block shown in the arrangement, does not move:

What is the maximum value of the force F such that the block shown in the arrangement, does not move:

physics-General
General
physics-

A block of mass m lying on a rough horizontal plane is acted upon by a horizontal force P and another force Q inclined at an angle theta to the vertical. The block will remain in equilibrium, if the coefficient of friction between it and the surface is :

A block of mass m lying on a rough horizontal plane is acted upon by a horizontal force P and another force Q inclined at an angle theta to the vertical. The block will remain in equilibrium, if the coefficient of friction between it and the surface is :

physics-General
General
physics-

A block of mass 1 kg slides down on a rough inclined plane of inclination 60degree starting from its top. If the coefficient of kinetic friction is 0.5 and length of the plane is 1 m, then work done against friction is (Take g = 9.8 m/s2) :

A block of mass 1 kg slides down on a rough inclined plane of inclination 60degree starting from its top. If the coefficient of kinetic friction is 0.5 and length of the plane is 1 m, then work done against friction is (Take g = 9.8 m/s2) :

physics-General
parallel
General
physics-

A body is moving along a rough horizontal surface with an initial velocity 6 m/s. If the body comes to rest after travelling 9 m, then the coefficient of sliding friction will be :

A body is moving along a rough horizontal surface with an initial velocity 6 m/s. If the body comes to rest after travelling 9 m, then the coefficient of sliding friction will be :

physics-General
General
physics-

A block of mass M = 5kg is resting on a rough horizontal surface for which the coefficient of friction is 0.2. When a force F = 40 N is applied, the acceleration of the block will be (g = 10 m/s2) :

A block of mass M = 5kg is resting on a rough horizontal surface for which the coefficient of friction is 0.2. When a force F = 40 N is applied, the acceleration of the block will be (g = 10 m/s2) :

physics-General
General
physics-

On the horizontal surface of a truck (mu = 0.6), a block of mass 1 kg is placed. If the truck is accelerating at the rate of 5m/s2 then frictional force on the block will be :

On the horizontal surface of a truck (mu = 0.6), a block of mass 1 kg is placed. If the truck is accelerating at the rate of 5m/s2 then frictional force on the block will be :

physics-General
parallel
General
physics-

Two carts of masses 200 kg and 300 kg on horizontal rails are pushed apart. Suppose the coefficient of friction between the carts and the rails are same. If the 200 kg cart travels a distance of 36 m and stops, then the distance travelled by the cart weighing 300 kg is :

Two carts of masses 200 kg and 300 kg on horizontal rails are pushed apart. Suppose the coefficient of friction between the carts and the rails are same. If the 200 kg cart travels a distance of 36 m and stops, then the distance travelled by the cart weighing 300 kg is :

physics-General
General
physics-

A block of mass 5 kg is on a rough horizontal surface and is at rest. Now a force of 24 N is imparted to it with negligible impulse. If the coefficient of kinetic friction is 0.4 and g = 9.8 m/s2 , then the acceleration of the block is :

A block of mass 5 kg is on a rough horizontal surface and is at rest. Now a force of 24 N is imparted to it with negligible impulse. If the coefficient of kinetic friction is 0.4 and g = 9.8 m/s2 , then the acceleration of the block is :

physics-General
General
physics-

If mass of A = 10 kg, coefficient of static friction = 0.2, coefficient of kinetic friction = 0.2. Then mass of B to start motion is :

If mass of A = 10 kg, coefficient of static friction = 0.2, coefficient of kinetic friction = 0.2. Then mass of B to start motion is :

physics-General
parallel
General
physics-

The coefficient of static friction, µs , between block A of mass 2 kg and the table as shown in the figure is 0.2. What would be the maximum mass value of block B so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless. (g = 10 m/s2)

The coefficient of static friction, µs , between block A of mass 2 kg and the table as shown in the figure is 0.2. What would be the maximum mass value of block B so that the two blocks do not move? The string and the pulley are assumed to be smooth and massless. (g = 10 m/s2)

physics-General
General
physics-

A horizontal force of 10 N is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is 0.2, the weight of the block is :

A horizontal force of 10 N is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is 0.2, the weight of the block is :

physics-General
General
physics-

A block of mass 2 kg is kept on the floor. The coefficient of static friction is 0.4. If a force F of 2.5 Newtons is applied on the block as shown in the figure, the frictional force between the block and the floor will be :

A block of mass 2 kg is kept on the floor. The coefficient of static friction is 0.4. If a force F of 2.5 Newtons is applied on the block as shown in the figure, the frictional force between the block and the floor will be :

physics-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.