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Physics

Mechanics

Easy

Question

On a particle moving on a circular path with a constant speed $nu$ , light is thrown from a projectors placed at the centre of the circular path. The shadow of the particle is formed on the wall. The velocity of shadow up the wall is

$v \sec^{2} f$
$v \cos^{2} f$
$v \cos f$
None

The correct answer is: $v sec squared invisible function application f$

$table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell y equals R tan ? end cell row cell fraction numerator d y over denominator d t end fraction equals R sec squared ? equals fraction numerator d v over denominator d t end fraction semicolon space of 1em V subscript y equals R sec squared ? left parenthesis ? right parenthesis end cell row cell V subscript y equals R sec squared invisible function application open parentheses v over R close parentheses equals V sec squared ? end cell end table$

Related Questions to study

A uniform disc of mass m and radius R is rolling up a rough inclined plane which makes an angle of 30^o with the horizontal. If the coefficients of static and kinetic friction are each equal to and the only forces acting are gravitational and frictional, then value of for maximum magnitude of the frictional force acting on the disc is

A uniform disc of mass m and radius R is rolling up a rough inclined plane which makes an angle of 30^o with the horizontal. If the coefficients of static and kinetic friction are each equal to and the only forces acting are gravitational and frictional, then value of for maximum magnitude of the frictional force acting on the disc is

PhysicsMechanics

A uniform rod of length L (in between the supports) and mass m is placed on two supports A and B. The rod breaks suddenly at length L/10 from the support B. Find the reaction at support A immediately after the rod breaks.

A uniform rod of length L (in between the supports) and mass m is placed on two supports A and B. The rod breaks suddenly at length L/10 from the support B. Find the reaction at support A immediately after the rod breaks.

PhysicsMechanics

Consider the following statements:
S₁ : Zero net torque on a body means always absence of rotational motion of the body.
S₂: A particle may have angular momentum even though the particle is not moving in a circle.
S₃: A ring of rolling without sliding on a fixed surface. the centripetal acceleration of each particle with respect to the centre of the ring is same.
State in order, whether $s subscript 1 comma s subscript 2 comma s subscript 3$ are true or false.

Consider the following statements:
S₁ : Zero net torque on a body means always absence of rotational motion of the body.
S₂: A particle may have angular momentum even though the particle is not moving in a circle.
S₃: A ring of rolling without sliding on a fixed surface. the centripetal acceleration of each particle with respect to the centre of the ring is same.
State in order, whether $s subscript 1 comma s subscript 2 comma s subscript 3$ are true or false.

PhysicsMechanics

parallel

PhysicsMechanics

An equilateral triangle ABC formed a uniform wire has two small identical beads initially located at A. The triangle is set rotating about the vertical axis AO. Then the beads are released from rest simultaneously and allowed to slide down, one along Ab and other AC as shown. Neglecting frictional effects, the quantities that are conserved as beads slides down are:

An equilateral triangle ABC formed a uniform wire has two small identical beads initially located at A. The triangle is set rotating about the vertical axis AO. Then the beads are released from rest simultaneously and allowed to slide down, one along Ab and other AC as shown. Neglecting frictional effects, the quantities that are conserved as beads slides down are:

PhysicsMechanics

$A space r i g i d space b o d y space o f space m o m e n t space o f space i n e r t i a l space I space i s space p r o j e c t e d space w i t h space v e l o c i t y space V space m a k i n g space a n space a n g l e space o f space space space w i t h space h o r i z o n t a l. space T h e space m a g n i t u d e space o f space a n g u l a r space m o m e n t u m space o f space t h e space p r o j e c t i l e space a b o u t space t h e space p o i n t space o f space p r o j e c t i o n space text when the body is at its maximum height is given by end text fraction numerator I V cubed over denominator 2 square root of 2 g R squared end fraction text where end text straight R text is the radius of the rigid end text b o d y. space T h e space r i g i d space b o d y space i s colon$

$A space r i g i d space b o d y space o f space m o m e n t space o f space i n e r t i a l space I space i s space p r o j e c t e d space w i t h space v e l o c i t y space V space m a k i n g space a n space a n g l e space o f space space space w i t h space h o r i z o n t a l. space T h e space m a g n i t u d e space o f space a n g u l a r space m o m e n t u m space o f space t h e space p r o j e c t i l e space a b o u t space t h e space p o i n t space o f space p r o j e c t i o n space text when the body is at its maximum height is given by end text fraction numerator I V cubed over denominator 2 square root of 2 g R squared end fraction text where end text straight R text is the radius of the rigid end text b o d y. space T h e space r i g i d space b o d y space i s colon$

PhysicsMechanics

parallel

A cubical block of side L and mass m is placed on a horizontal floor. In the arrangement as shown, a force F is applied at the end of the plane sheet PQ which is firmly attached with the block. What should be the minimum value of PQ so that block may be tipped about an edge?

A cubical block of side L and mass m is placed on a horizontal floor. In the arrangement as shown, a force F is applied at the end of the plane sheet PQ which is firmly attached with the block. What should be the minimum value of PQ so that block may be tipped about an edge?

PhysicsMechanics

$A space h e m i s p h e r i c a l space s h e l l space o f space m a s s space M space a n d space r a d i u s space R space i s space h i n g e d space a t space p o i n t space O space a n d space p l a c e d space o n space a space h o r i z o n t a l space text surface. A ball of mass M moving with a velocity u inclined at an angle end text theta equals tan to the power of negative 1 end exponent invisible function application open parentheses 1 half close parentheses text strikes end text text the shell at point A (as shown in the figure) and stops. What is the minimum speed u if the end text text given shell is to reach the horizontal surface OP? end text$

$A space h e m i s p h e r i c a l space s h e l l space o f space m a s s space M space a n d space r a d i u s space R space i s space h i n g e d space a t space p o i n t space O space a n d space p l a c e d space o n space a space h o r i z o n t a l space text surface. A ball of mass M moving with a velocity u inclined at an angle end text theta equals tan to the power of negative 1 end exponent invisible function application open parentheses 1 half close parentheses text strikes end text text the shell at point A (as shown in the figure) and stops. What is the minimum speed u if the end text text given shell is to reach the horizontal surface OP? end text$

PhysicsMechanics

A particle moves in a circular path with decreasing speed. Choose the correct statement

A particle moves in a circular path with decreasing speed. Choose the correct statement

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A thin wire of length L and uniform linear mass density is bent into a circular loop with centre at O as shown. The moment of inertia of the loop about the axis XX’ is :

A thin wire of length L and uniform linear mass density is bent into a circular loop with centre at O as shown. The moment of inertia of the loop about the axis XX’ is :

PhysicsMechanics

The free end of a thread wound on a bobbin is passed round a nail A hammered into the wall. The thread is pulled at a constant velocity ’v’ Assuming pure rolling of bobbin, find the velocity $v subscript 0$ of the centre of the bobbin at the instant when the thread forms an angle with the vertical: (R and r are outer and inner radii off the bobbin)

The free end of a thread wound on a bobbin is passed round a nail A hammered into the wall. The thread is pulled at a constant velocity ’v’ Assuming pure rolling of bobbin, find the velocity $v subscript 0$ of the centre of the bobbin at the instant when the thread forms an angle with the vertical: (R and r are outer and inner radii off the bobbin)

PhysicsMechanics

A ball is attached to a string that is attached to a thick pole. When the ball is hit, the string warps around the pole and the ball spirals inwards sliding on the frictionless surface. Neglecting air resistance, what happens as the ball swings around the pole?

A ball is attached to a string that is attached to a thick pole. When the ball is hit, the string warps around the pole and the ball spirals inwards sliding on the frictionless surface. Neglecting air resistance, what happens as the ball swings around the pole?

PhysicsMechanics

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A particle P collides elastically at M with a speed v. The change in angular momentum of the particle about the point N during collision is :

A particle P collides elastically at M with a speed v. The change in angular momentum of the particle about the point N during collision is :

PhysicsMechanics

A disc of mass m is connected with an ideal spring of stiffness k. If it is released from rest., it rolls without sliding on an inclined plane. The maximum elongation of the spring is :

A disc of mass m is connected with an ideal spring of stiffness k. If it is released from rest., it rolls without sliding on an inclined plane. The maximum elongation of the spring is :

PhysicsMechanics

A uniform cylinder of mass m is kept on an accelerating wedge. If the wedge moves with an acceleration $a equals 3 g tan invisible function application theta$ , the minimum coefficient of friction between the cylinder and wedge to avoid relative sliding between them is

A uniform cylinder of mass m is kept on an accelerating wedge. If the wedge moves with an acceleration $a equals 3 g tan invisible function application theta$ , the minimum coefficient of friction between the cylinder and wedge to avoid relative sliding between them is

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