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Hard Dynamics of uniform circular motion, centripetal force and its applications: vehicle on a level circular road, vehicle on a banked road MCQs for JEE

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Hard Dynamics of uniform circular motion, centripetal force and its applications: vehicle on a level circular road, vehicle on a banked road MCQs train multi-concept problem solving — attempt after mastering easy and medium sets (6+ on Goodmarks).

Push your limits with hard Dynamics of uniform circular motion, centripetal force and its applications: vehicle on a level circular road, vehicle on a banked road MCQs designed for JEE Advanced-level thinking. 6+ questions with detailed solutions.

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Part of Laws of Motion in JEE Main Physics.

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Q1PhysicsUnit 3: Laws of Motion

A circular road of radius r is banked for a speed

\mathbf{v}=40 \mathrm{km} / \mathrm{hr} .

A car of mass

\mathrm{m}

attempts to go on the circular road. The friction coefficient between the tyre and the road is negligible.

Q2PhysicsUnit 3: Laws of Motion

A body is revolving with a constant speed along a circular path. If the direction of its velocity is reserved, keeping speed unchanged, then at that instant.

Q3PhysicsUnit 3: Laws of Motion

If the angle of banking of a road is

32^{\circ}

and if a turn has radius

72 m,

what is the maximum speed at which a car can turn, given the coefficient of friction between the car tyres and the road is

\mathbf{0 . 3 4} ?(\operatorname{in} \mathbf{m} / \mathbf{s})

Q4PhysicsUnit 3: Laws of Motion

A ball of mass

2 k g

is connected to a string of length

1 m

and made to move in a horizontal circle on a smooth frictionless table with a constant speed of

2 m / s .

The other end of the string is connected to a fixed peg on the table. Find the magnitude of the average impulse exerted by the string on the ball in half a revolution:

Q5PhysicsUnit 3: Laws of Motion

Q Type your question the shape of track is defined by equation

y=\frac{x^{2}}{a}

where

a

is a constant. A ring of mass

m

which can slide freely on wire track, is placed at the position

(a, a) .

The track is rotated with constant angular speed

\omega

such that there is no relative slipping between the ring and the track then

\omega

is equal to

Q6PhysicsUnit 3: Laws of Motion

The distance between two rails of railway track is

1.6 \mathrm{m}

along a curve of radius

800 \mathrm{m} .

The outer rail is raised above the inner rail by

10 \mathrm{cm} .

With what maximum speed can a train be safely driven along the curve

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