Physics-
General
Easy

Question

A particle is constrained to move along a straight rod. The rod moves with a constant angular acceleration a. Disregarding greater of the particle, the time after its motion begins, it stops sliding along the rod is equal to

  1. square root of fraction numerator mu over denominator alpha end fraction end root    
  2. square root of fraction numerator 1 over denominator alpha end fraction end root    
  3. square root of mu alpha end root    
  4. Infinitesimal    

The correct answer is: square root of fraction numerator mu over denominator alpha end fraction end root


    If N is the normal contact force experienced by the particle, the maximum frictional force f = mN. (Weight of the particle = 0 as g = 0) Since this frictional force imparts necessary centripetal force mr2w that is f = mrw2 , we obtain mN = mrw2
    By putting N = ma = m (r a)and w = at, we obtain
    m (mra) = mra2 t2 Þ t = square root of fraction numerator mu over denominator alpha end fraction end root
    That means after square root of fraction numerator mu over denominator alpha end fraction end root the particle will slide.

    Related Questions to study

    General
    Physics-

    In the figure the block of mass M is at rest on the floor. The acceleration with which should a boy of mass m climb along the rope of negligible mass so as to lift the block from the floor is,

    In the figure the block of mass M is at rest on the floor. The acceleration with which should a boy of mass m climb along the rope of negligible mass so as to lift the block from the floor is,

    Physics-General
    General
    Physics-

    A pendulum is hanging from the ceiling of a cage. If the cage moves up with constant acceleration a, its tension is T1 and if it moves down with same acceleration, the corresponding tension is T2. The tension in the string if the cage moves horizontally with same acceleration a is,

    A pendulum is hanging from the ceiling of a cage. If the cage moves up with constant acceleration a, its tension is T1 and if it moves down with same acceleration, the corresponding tension is T2. The tension in the string if the cage moves horizontally with same acceleration a is,

    Physics-General
    General
    Physics-

    A uniform chain is just at rest over a rough horizontal table with its (1/n) th part of length hanging vertically. The co-efficient of static friction between the chain and the table is,

    A uniform chain is just at rest over a rough horizontal table with its (1/n) th part of length hanging vertically. The co-efficient of static friction between the chain and the table is,

    Physics-General
    parallel
    General
    Physics-

    A U shaped smooth wire has a semi-circular bending between A and B as shown in the figure 10.3. A bead of mass ‘m’ moving with uniform speed v through the wire enters the semicircular bend at A and leaves at B. The average force exerted by the bead on the part AB of the wire is,

    A U shaped smooth wire has a semi-circular bending between A and B as shown in the figure 10.3. A bead of mass ‘m’ moving with uniform speed v through the wire enters the semicircular bend at A and leaves at B. The average force exerted by the bead on the part AB of the wire is,

    Physics-General
    General
    Physics-

    Two particles A and B, each of mass m, are inter-connected by an inextensible such that the particle B hangs below a table as shown in the figure and particle A is on a rough rotating disc at a distance r from the axis of rotation of the disc. If the angular speed of the dis is omega equals square root of g divided by r end root, the frictional force developed at the interface of the particle & the disc is equal to

    Two particles A and B, each of mass m, are inter-connected by an inextensible such that the particle B hangs below a table as shown in the figure and particle A is on a rough rotating disc at a distance r from the axis of rotation of the disc. If the angular speed of the dis is omega equals square root of g divided by r end root, the frictional force developed at the interface of the particle & the disc is equal to

    Physics-General
    General
    Physics-

    A uniform rope is moving with a constant acceleration ‘a’ on a smooth horizontal surface. The ratio of the tension in the rope at its mid point to the applied force is,

    A uniform rope is moving with a constant acceleration ‘a’ on a smooth horizontal surface. The ratio of the tension in the rope at its mid point to the applied force is,

    Physics-General
    parallel
    General
    Physics-

    A block of mass m slides down on a wedge of mass M as shown in figure. Let stack a with rightwards arrow on top subscript 1 end subscript be the acceleration of the wedge and stack a with rightwards arrow on top subscript 2 end subscript the acceleration of block. N1 is the normal relation between block and wedge and N2 the normal reaction between wedge and ground. Friction is absent everywhere. Select the correct alternative (s)

    A block of mass m slides down on a wedge of mass M as shown in figure. Let stack a with rightwards arrow on top subscript 1 end subscript be the acceleration of the wedge and stack a with rightwards arrow on top subscript 2 end subscript the acceleration of block. N1 is the normal relation between block and wedge and N2 the normal reaction between wedge and ground. Friction is absent everywhere. Select the correct alternative (s)

    Physics-General
    General
    Physics-

    Two masses of 10 kg and 20 kg are connected by a light spring as shown. A force of 200 N acts on a 20 kg mass as shown. At a certain instant the acceleration of 10 kg mass is 12 ms-2.

    Two masses of 10 kg and 20 kg are connected by a light spring as shown. A force of 200 N acts on a 20 kg mass as shown. At a certain instant the acceleration of 10 kg mass is 12 ms-2.

    Physics-General
    General
    Physics-

    The coefficient of friction of all the surfaces is mu. The string and the pulley are light. The blocks are moving with constant speed. Choose the correct statement

    The coefficient of friction of all the surfaces is mu. The string and the pulley are light. The blocks are moving with constant speed. Choose the correct statement

    Physics-General
    parallel
    General
    Physics-

    A force F is applied vertically upward to the pulley and it is observed that the pulley in the figure moves upward with a uniform velocity of 2 m/s. The possible value(s) of F is/are (in newtons)

    A force F is applied vertically upward to the pulley and it is observed that the pulley in the figure moves upward with a uniform velocity of 2 m/s. The possible value(s) of F is/are (in newtons)

    Physics-General
    General
    Physics-

    Two blocks of masses m1 and m2 are connected through a massless inextensible string. Block of mass m1 is placed at the fixed rigid inclined surface while the block of mass m2 hanging at the other end of the string, which is passing through a fixed massless frictionless pulley shown in figure. The coefficient of static friction between the block and the inclined plane is 0.8. The system of masses m1 and m2 is released from rest.

    Two blocks of masses m1 and m2 are connected through a massless inextensible string. Block of mass m1 is placed at the fixed rigid inclined surface while the block of mass m2 hanging at the other end of the string, which is passing through a fixed massless frictionless pulley shown in figure. The coefficient of static friction between the block and the inclined plane is 0.8. The system of masses m1 and m2 is released from rest.

    Physics-General
    General
    Physics-

    The figure shows a block of mass m placed on a smooth wedge of mass M. Calculate the value of M¢ and tension in the string, so that the block of mass m will move vertically downward with acceleration 10 m/s2
    (Take g = 10 m/s2)

    The figure shows a block of mass m placed on a smooth wedge of mass M. Calculate the value of M¢ and tension in the string, so that the block of mass m will move vertically downward with acceleration 10 m/s2
    (Take g = 10 m/s2)

    Physics-General
    parallel
    General
    Physics-

    In the figure, a man of true mass M is standing on a weighing machine placed in a cabin. The cabin is joined by a string with a body of mass m. Assuming no friction, and negligible mass of cabin and weighing machine, the measured mass of man is (normal force between the man and the machine is proportional to the mass)

    In the figure, a man of true mass M is standing on a weighing machine placed in a cabin. The cabin is joined by a string with a body of mass m. Assuming no friction, and negligible mass of cabin and weighing machine, the measured mass of man is (normal force between the man and the machine is proportional to the mass)

    Physics-General
    General
    Physics-

    In the figure small block is kept on m then

    In the figure small block is kept on m then

    Physics-General
    General
    Maths-

    In a sequence of (4n + 1) terms the first (2n + 1) terms are in AP whose common difference is 2 and the last (2n + 1) terms are in GP whose common ratio is 0.5. If the middle terms of the AP and GP are equal then the middle term of the sequence is

    In a sequence of (4n + 1) terms the first (2n + 1) terms are in AP whose common difference is 2 and the last (2n + 1) terms are in GP whose common ratio is 0.5. If the middle terms of the AP and GP are equal then the middle term of the sequence is

    Maths-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.