WB JEE 2022 | Center of Mass Question 8 | Physics

A body of mass m is thrown with velocity u from the origin of a co-ordinate axes at an angle $$\theta$$ with the horizon. The magnitude of the angular momentum of the particle about the origin at time t when it is at the maximum height of the trajectory is proportional to

u²

u³

independent of u

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

Three particles, each of mass 'm' grams situated at the vertices of an equilateral $$\Delta$$ABC of side 'a' cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC in g-cm² units will be

WB JEE 2022 Physics - Center of Mass Question 9 English

2 ma²

$${3 \over 2}$$ ma²

$${3 \over 4}$$ ma²

$${5 \over 4}$$ ma²

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

A uniform thin rod of length L, mass m is lying on a smooth horizontal table. A horizontal impulse P is suddenly applied perpendicular to the rod at one end. The total energy of the rod after the impulse is

$${{{P^2}} \over m}$$

$${{7{P^2}} \over {8m}}$$

$${{13{P^2}} \over {2m}}$$

$${{2{P^2}} \over m}$$

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

Centre of mass (CM) of three particles of masses 1 kg, 2 kg and 3 kg lies at the point (1, 2, 3) and CM of another system of particles of 3 kg and 2 kg lies at the point ($$-$$1, 3, $$-$$2). Where should we put a particle of mass 5 kg, so that the CM of entire system lies at the CM of the first system?

(3, 1, 8)

(0, 0, 0)

(1, 3, 2)

($$-$$1, 2, 3)

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