Physics · JEE

Centre of mass of a two-particle system, centre of mass of a rigid body Mock Test for JEE

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Syllabus context

Part of Rotational Motion in JEE Main Physics.

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Q1PhysicsUnit 5: Rotational Motion

How far from the midpoint of the stick is the center of mass of the stick-puck combination after the collision?

Q2PhysicsUnit 5: Rotational Motion

Assertion The center of mass of a body may lie where there is no mass. Reason Centre of mass of a body is a point, where the whole mass of the body is supposed to be concentrated.

Q3PhysicsUnit 5: Rotational Motion

A uniform thin rod of length

l

is standing on a smooth horizontal surface. A slight disturbance causes the lower end to slip to the smooth surface and the rod starts falling. Based on this information mark the correct option.

Q4PhysicsUnit 5: Rotational Motion

Particle 1 with mass

M

has

x

position defined by the function

x_{1}(t)=

2 t(t+3)

where units are in meters time is in seconds, and are abbreviated in the function. Particle 2 has mass

2 M

and

x

position defined by

x(t)=

(t-1)(t-2) / 2

Considering the system of these two particles, what is the velocity of the center of mass of the system at

t=2 ?

Q5PhysicsUnit 5: Rotational Motion

Find the centre of mass of the letter

F

which cut from a uniform metal sheet from point

\mathbf{A}

Q6PhysicsUnit 5: Rotational Motion

A stick is thrown in the air and lands on the ground at some distance from the thrower. The centre of mass of the stick will move along a parabolic path

Q7PhysicsUnit 5: Rotational Motion

t=0,

the position and velocities of two particle are as shown in the figure. They are kept on a smooth surface and being mutually attracted by gravitational force. Find the position of center of mass at

t=2 s

Q8PhysicsUnit 5: Rotational Motion

The motion of centre of mass depends on

Q9PhysicsUnit 5: Rotational Motion

Assertion Centre of mass of a rigid body always lies inside the body. Reason Centre of mass and centre of gravity coincide if gravity is uniform.

Q10PhysicsUnit 5: Rotational Motion

Point where whole weight of body acts vertically is called

Q11PhysicsUnit 5: Rotational Motion

Two skaters

A

and

B

of mass 50 kg and 70 kg respectively stand facing each other 6 metres apart. They then pull on a light rope stretched between them. How far has each moved when they meet?

Q12PhysicsUnit 5: Rotational Motion

Two particles of masses m and

2 \mathrm{m}

on an object are connected by a spring, then with respect to the object's frame of reference

Q13PhysicsUnit 5: Rotational Motion

A uniform rod of length one meter is bent at its midpoint to make

90^{0}

. The distance of centre of mass from the centre of rod is(in cm)?

Q14PhysicsUnit 5: Rotational Motion

A planar object made up of a uniform square plate and four semicircular discs of the same thickness and material is being acted upon by four forces of equal magnitude as shown. The coordinates of point of application of forces is given by

Q15PhysicsUnit 5: Rotational Motion

Center of gravity is usually located where

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