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Physics

Mechanics

Easy

Question

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.

$\frac{9}{40} m g$
$\frac{19}{40} m g$
$\frac{m g}{2}$
$\frac{9}{20} m g$

The correct answer is: $9 over 40 m g$

$table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell text Torque end text equals tau equals 9 over 10 m g open parentheses 9 over 20 L close parentheses end cell row cell equals I alpha equals m over 3 open parentheses 9 over 10 L close parentheses squared alpha semicolon space of 1em a equals fraction numerator 3 g over denominator 2 L end fraction end cell end table table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell text Acceleration end text a subscript C M end subscript equals alpha left parenthesis A C right parenthesis equals fraction numerator 3 g over denominator 2 L end fraction open parentheses fraction numerator 9 L over denominator 20 end fraction close parentheses equals fraction numerator 27 g over denominator 40 end fraction end cell row cell N subscript A equals 9 over 40 m g end cell end table$

Related Questions to study

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

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:

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PhysicsMechanics

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

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PhysicsMechanics

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 :

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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)

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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?

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PhysicsMechanics

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 :

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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 :

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PhysicsMechanics

A rod touches a disc kept on a smooth horizontal plane. If the rod moves with an acceleration a, the disc rolls on the rod without sliding. Then, the acceleration of the disc w.r.t the rod is

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PhysicsMechanics

A uniform box is kept on a rough inclined plane. It begins to topple when $theta$ is equal to:

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