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Physics

Mechanics

Easy

Question

$straight A space force space space space straight F with rightwards arrow on top equals straight a i with hat on top plus 3 straight j with hat on top plus 6 straight k with hat on top space space space is space acting space at space straight a space point space space space space straight r with rightwards arrow on top equals 2 straight i with hat on top minus 6 straight j with hat on top minus 12 straight k with hat on top. space The space value space of space apostrophe straight a apostrophe space for space which space angular space momentum space about space origin space is space conserved space is space minus space$

$0$
$1$
$- 1$
$2$

The correct answer is: $– 1 space space$

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$straight A space particle space performs space uniform space circular space motion space with space angular space momentum space apostrophe straight L apostrophe. space If space the space frequency space of space particles space motion space is space halved space and space its space KE space is space doubled space then space the space angular space momentum space becomes space – space space$

$straight A space particle space performs space uniform space circular space motion space with space angular space momentum space apostrophe straight L apostrophe. space If space the space frequency space of space particles space motion space is space halved space and space its space KE space is space doubled space then space the space angular space momentum space becomes space – space space$

PhysicsMechanics

$straight A space particle space is space moved space in space straight a space circle space with space straight a space constant space angular space velocity. space Its space angular space momentum space is space straight L. space If space the space radius space of space the space circle space is space halved space keeping space the space angular space velocity space same comma space the space angular space momentum space of space the space particle space will space become space minus$

$straight A space particle space is space moved space in space straight a space circle space with space straight a space constant space angular space velocity. space Its space angular space momentum space is space straight L. space If space the space radius space of space the space circle space is space halved space keeping space the space angular space velocity space same comma space the space angular space momentum space of space the space particle space will space become space minus$

PhysicsMechanics

$straight A space smooth space tube space of space certain space mass space is space rotated space in space straight a space gravity minus free space space space and space released. space The space two space balls space shown space in space Fig. space move space towards space the space ends space of space the space tube. space For space the space whole space system comma space which space of space the space following space quantities space is space not space conserved$

$straight A space smooth space tube space of space certain space mass space is space rotated space in space straight a space gravity minus free space space space and space released. space The space two space balls space shown space in space Fig. space move space towards space the space ends space of space the space tube. space For space the space whole space system comma space which space of space the space following space quantities space is space not space conserved$

PhysicsMechanics

parallel

The minimum height of the obstacle so that the sphere can stay in equilibrium is (R is radius of the sphere)

The minimum height of the obstacle so that the sphere can stay in equilibrium is (R is radius of the sphere)

PhysicsMechanics

$A space c y l i n d e r space r e s t s space o n space a space h o r i z o n t a l space r o t a t i n g space d i s c space a s space s h o w n. space D i s tan c e space b e t w e e n space t h e space a x e s space o f space t h e space d i s c space text and cylinder is end text straight R text . Coefficient of friction between disc and cylinder is end text mu greater than D over h. text Where end text D equals 2 r text is end text text diameter of cylinder. Value of end text omega text such that cylinder falls off the disc will be end text$

$A space c y l i n d e r space r e s t s space o n space a space h o r i z o n t a l space r o t a t i n g space d i s c space a s space s h o w n. space D i s tan c e space b e t w e e n space t h e space a x e s space o f space t h e space d i s c space text and cylinder is end text straight R text . Coefficient of friction between disc and cylinder is end text mu greater than D over h. text Where end text D equals 2 r text is end text text diameter of cylinder. Value of end text omega text such that cylinder falls off the disc will be end text$

PhysicsMechanics

The maximum ratio of b/h for which the homogeneous block will slide without toppling under the action of force F. Coefficient of static friction between the block and incline is $mu$ .

The maximum ratio of b/h for which the homogeneous block will slide without toppling under the action of force F. Coefficient of static friction between the block and incline is $mu$ .

PhysicsMechanics

parallel

A horizontal force F is applied at the top of an equilateral triangular block of mass m and side L as shown. The minimum value of coefficient of friction between block and the horizontal surface to topple the block before it slides.

A horizontal force F is applied at the top of an equilateral triangular block of mass m and side L as shown. The minimum value of coefficient of friction between block and the horizontal surface to topple the block before it slides.

PhysicsMechanics

A horizontal force F is applied to a rectangular block of mass m width b and height H so that block moves with constant velocity. is coefficient of kinetic friction. If F is applied at a height H/2 as shown, value of x where line of action of resultant contact force applied by the surface on the block acts.

A horizontal force F is applied to a rectangular block of mass m width b and height H so that block moves with constant velocity. is coefficient of kinetic friction. If F is applied at a height H/2 as shown, value of x where line of action of resultant contact force applied by the surface on the block acts.

PhysicsMechanics

A cubical block of mass m and edge length L is sliding down on an inclined plane with uniform velocity. Torque due to the normal force applied by the incline on the block about its centre of mass is

A cubical block of mass m and edge length L is sliding down on an inclined plane with uniform velocity. Torque due to the normal force applied by the incline on the block about its centre of mass is

PhysicsMechanics

parallel

An isosceles right triangular plate ABC of mass m is free to rotate in vertical plane about a fixed horizontal axis through A. It is supported by a string such that the side AB is horizontal. The reaction at the support A is

An isosceles right triangular plate ABC of mass m is free to rotate in vertical plane about a fixed horizontal axis through A. It is supported by a string such that the side AB is horizontal. The reaction at the support A is

PhysicsMechanics

In the above case rod does not slip until $theta equals$

In the above case rod does not slip until $theta equals$

PhysicsMechanics

A rod of mass m and length L is released from rest from vertical position as shown. The normal force exerted on the rod by ground as function of as rod falls downward without slip

A rod of mass m and length L is released from rest from vertical position as shown. The normal force exerted on the rod by ground as function of as rod falls downward without slip

PhysicsMechanics

parallel

$text In the above situation of end text mu text is coefficient of friction between the rod and the surface end text tan invisible function application theta equals$

$text In the above situation of end text mu text is coefficient of friction between the rod and the surface end text tan invisible function application theta equals$

PhysicsMechanics

One fourth length of a uniform rod of mass m and length L is placed on a rough horizontal surface and it is held stationary in horizontal position by means of a light thread as shown. The thread is then burnt and the rod starts rotating about the edge when the rod about to slide on the edge, angle made by the rod with horizontal is , then normal force on the rod applied by edge of the table is

One fourth length of a uniform rod of mass m and length L is placed on a rough horizontal surface and it is held stationary in horizontal position by means of a light thread as shown. The thread is then burnt and the rod starts rotating about the edge when the rod about to slide on the edge, angle made by the rod with horizontal is , then normal force on the rod applied by edge of the table is

PhysicsMechanics

A uniform thin rod of mass m and length L is standing on a smooth horizontal surface. A slight disturbance causes the lower end to slip on the smooth surface and the rod starts falling. Then velocity of centre of mass of the rod when it makes an angle $theta equals 45 to the power of o$ with horizontal is

A uniform thin rod of mass m and length L is standing on a smooth horizontal surface. A slight disturbance causes the lower end to slip on the smooth surface and the rod starts falling. Then velocity of centre of mass of the rod when it makes an angle $theta equals 45 to the power of o$ with horizontal is

PhysicsMechanics

parallel

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