Physics-
General
Easy

Question

A plank is held at an angle  to the horizontal (Fig.) on two fixed supports A and B. The plank can slide against the supports (without friction) because of its weight Mg. Acceleration and direction in which a man of mass m should move so that the plank does not move.

  1. sin alpha open parentheses 1 plus straight m over straight M close parentheses
  2. g sin alpha open parentheses 1 plus straight M over straight m close parentheses text  down the incline  end text
  3. g sin alpha open parentheses 1 plus m over M close parentheses text  up the incline  end text
  4. g sin alpha open parentheses 1 plus M over m close parentheses text  up the incline  end text

The correct answer is: g sin alpha open parentheses 1 plus straight M over straight m close parentheses text  down the incline  end text

Related Questions to study

General
physics-

A block of mass m1 lies on top of fixed wedge as shown in figure-1 and another block of mass m2 lies on top of wedge which is free to move as shown in figure-2. At time t = 0, both the blocks are released from rest from a vertical height h above the respective horizontal surface on which the wedge is placed as shown. There is no frcition between block and wedge in both the figures. Let T1 and T2 be the time taken by block in figure-1 and block in figure-2 respectively to just reach the horizontal surface, then :


A block of mass m1 lies on top of fixed wedge as shown in figure-1 and another block of mass m2 lies on top of wedge which is free to move as shown in figure-2. At time t = 0, both the blocks are released from rest from a vertical height h above the respective horizontal surface on which the wedge is placed as shown. There is no frcition between block and wedge in both the figures. Let T1 and T2 be the time taken by block in figure-1 and block in figure-2 respectively to just reach the horizontal surface, then :


physics-General
General
physics-

System is shown in the figure. Assume that cylinder remains in contact with the two wedges. The velocity of cylinder is –

System is shown in the figure. Assume that cylinder remains in contact with the two wedges. The velocity of cylinder is –

physics-General
General
maths-

Let f left parenthesis x right parenthesis equals x c o s to the power of negative 1 end exponent invisible function application left parenthesis negative s i n invisible function application vertical line x vertical line right parenthesis comma x element of open square brackets negative fraction numerator pi over denominator 2 end fraction comma fraction numerator pi over denominator 2 end fraction close square brackets, then which of the following is true?

Let f left parenthesis x right parenthesis equals x c o s to the power of negative 1 end exponent invisible function application left parenthesis negative s i n invisible function application vertical line x vertical line right parenthesis comma x element of open square brackets negative fraction numerator pi over denominator 2 end fraction comma fraction numerator pi over denominator 2 end fraction close square brackets, then which of the following is true?

maths-General
parallel
General
maths-

For all twice differentiable functios f colon R rightwards arrow R, with f left parenthesis 0 right parenthesis equals f left parenthesis 1 right parenthesis equals f to the power of ´ end exponent left parenthesis 0 right parenthesis equals 0

For all twice differentiable functios f colon R rightwards arrow R, with f left parenthesis 0 right parenthesis equals f left parenthesis 1 right parenthesis equals f to the power of ´ end exponent left parenthesis 0 right parenthesis equals 0

maths-General
General
physics-

The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle theta should be :–

The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle theta should be :–

physics-General
General
physics-

A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by :–

A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by :–

physics-General
parallel
General
maths-

Let f be a twice differentiable function on left parenthesis 1 , 6 right parenthesis. If f left parenthesis 2 right parenthesis equals 8, f to the power of ´ end exponent left parenthesis 2 right parenthesis equals 5 comma f to the power of ´ end exponent left parenthesis x right parenthesis greater or equal than 1 and f to the power of ´ left parenthesis x right parenthesis greater or equal than 4, for all x element of left parenthesis 1 , 6 right parenthesis, then colon

Let f be a twice differentiable function on left parenthesis 1 , 6 right parenthesis. If f left parenthesis 2 right parenthesis equals 8, f to the power of ´ end exponent left parenthesis 2 right parenthesis equals 5 comma f to the power of ´ end exponent left parenthesis x right parenthesis greater or equal than 1 and f to the power of ´ left parenthesis x right parenthesis greater or equal than 4, for all x element of left parenthesis 1 , 6 right parenthesis, then colon

maths-General
General
physics-

A insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the surface and the insect is 1 third  . 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  alpha is given :

A insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the surface and the insect is 1 third  . 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  alpha is given :

physics-General
General
physics-

A long horizontal rod has a bead which can slide along its length and is initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A with a constant angular acceleration, . If the coefficient of friction between the rod and bead is , and gravity is neglected, then the time after which the bead starts slipping is

A long horizontal rod has a bead which can slide along its length and is initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A with a constant angular acceleration, . If the coefficient of friction between the rod and bead is , and gravity is neglected, then the time after which the bead starts slipping is

physics-General
parallel
General
physics-

A point particle of mass m, moves along the uniformly rough track PQR as shown in the figure. The coefficient of friction, between the particle and the rough track equals mu The particle is released, from rest, from the point P and it comes to rest at a point R. The energies, lost by the ball, over the parts, PQ and QR, of the track, are equal to each other, and no energy is lost when particle changes direction from PQ to QR. The values of the coefficient of friction mu and the distance x(=QR), are, respectively close to:

A point particle of mass m, moves along the uniformly rough track PQR as shown in the figure. The coefficient of friction, between the particle and the rough track equals mu The particle is released, from rest, from the point P and it comes to rest at a point R. The energies, lost by the ball, over the parts, PQ and QR, of the track, are equal to each other, and no energy is lost when particle changes direction from PQ to QR. The values of the coefficient of friction mu and the distance x(=QR), are, respectively close to:

physics-General
General
physics-

An observer can see through a pin–hole the top end of a thin rod of height h, placed as shown in the figure. The beaker height is 3h and its radius h. When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is

An observer can see through a pin–hole the top end of a thin rod of height h, placed as shown in the figure. The beaker height is 3h and its radius h. When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is

physics-General
General
physics-

A diverging beam of light from a point source S having divergence angle a, falls symmetrically on a glass slab as shown. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is t and the refractive index n, then the divergence angle of the emergent beam is

A diverging beam of light from a point source S having divergence angle a, falls symmetrically on a glass slab as shown. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is t and the refractive index n, then the divergence angle of the emergent beam is

physics-General
parallel
General
physics-

A rectangular glass slab ABCD, of refractive index n1, is immersed in water of refractive index n subscript 2 end subscript open parentheses n subscript 1 end subscript greater than n subscript 2 end subscript close parentheses A ray of light in incident at the surface AB of the slab as shown. The maximum value of the angle of incidence amax, such that the ray comes out only from the other surface CD is given by

A rectangular glass slab ABCD, of refractive index n1, is immersed in water of refractive index n subscript 2 end subscript open parentheses n subscript 1 end subscript greater than n subscript 2 end subscript close parentheses A ray of light in incident at the surface AB of the slab as shown. The maximum value of the angle of incidence amax, such that the ray comes out only from the other surface CD is given by

physics-General
General
physics-

A smooth block is released at rest on a  incline and then slides a distance d. The time taken to slide is n times as much to slide on rough incline than on a smooth incline. The coefficient of friction is-

A smooth block is released at rest on a  incline and then slides a distance d. The time taken to slide is n times as much to slide on rough incline than on a smooth incline. The coefficient of friction is-

physics-General
General
physics-

A block is kept on a friction less inclined surface with angle of inclination . The incline is given an acceleration a to keep the block stationary. Then a is equal to-

A block is kept on a friction less inclined surface with angle of inclination . The incline is given an acceleration a to keep the block stationary. Then a is equal to-

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.