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A particle of mass $m$ begins to slide down a fixed smooth sphere from the top with negligible initial velocity. What is its tangential acceleration when it breaks off the sphere?

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Important Questions on Circular Motion

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Alpha Question Bank for Engineering: Physics>Chapter 7 - Circular Motion>Exercise - 2>Q 13

A small frictionless block slides with velocity $0.5 \sqrt{g r}$ on a horizontal surface as shown in the figure. The block leaves the surface at point $C$ . The angle $θ$ in the figure is,

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Alpha Question Bank for Engineering: Physics>Chapter 7 - Circular Motion>Exercise - 2>Q 14

The figure shows the velocity and acceleration of a point like body at the initial moment of its motion. The acceleration vector of the body remains constant. The minimum radius of curvature of trajectory of the body is

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Alpha Question Bank for Engineering: Physics>Chapter 7 - Circular Motion>Exercise - 2>Q 15

A particle is projected horizontally from the top of a tower with a velocity

v_{0}

. If

v

is its velocity at any instant, then the radius of curvature of the path of the particle at that instant is directly proportional to,

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Alpha Question Bank for Engineering: Physics>Chapter 7 - Circular Motion>Exercise - 2>Q 16

A racing car moves along a circular track of radius

b

. The car starts from rest and its speed increases at a constant rate

α

. Let the angle between the velocity and the acceleration be

θ

at time

t

. Then,

\cos θ

is,

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Alpha Question Bank for Engineering: Physics>Chapter 7 - Circular Motion>Exercise - 2>Q 19

Two particles

A

and

B

move anticlockwise with the same speed

v

in a circle of radius

R

and are diametrically opposite to each other. At

t = 0, A

is imparted a tangential acceleration of constant magnitude

a_{t} = \frac{72 v^{2}}{25 π R}

.If the time in which

A

collides with

B

\frac{5 π R}{N_{1} v}

, the angle traced by

A

during this time is

\frac{11 π}{N_{2}}

, its angular velocity is

\frac{17 v}{N_{3} R}

and radial acceleration at the time of collision is

\frac{289 v^{2}}{5 R N_{4}}

.Then calculate the value of

N_{1} + N_{2} + N_{3} + N_{4}

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Alpha Question Bank for Engineering: Physics>Chapter 7 - Circular Motion>Exercise - 2>Q 29

A heavy particle is tied to the end

A

of a string of length

1.6 m

. Its other end

O

is fixed. It revolves as a conical pendulum with the string making

60 °

with the vertical. Then

(g = 9.8 m s^{- 2})

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Alpha Question Bank for Engineering: Physics>Chapter 7 - Circular Motion>Exercise - 2>Q 30

A car of mass

m

is travelling on a horizontal circular path of radius

r

. At an instant its speed is

v

and tangential acceleration is

a

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Alpha Question Bank for Engineering: Physics>Chapter 7 - Circular Motion>Exercise - 2>Q 31

A car is moving with constant speed on a road as shown in figure. The normal reaction by the road on the car is $N_{A}, N_{B}$ and $N_{C}$ when it is at the points $A, B$ and $C$ , respectively.

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A particle of mass m begins to slide down a fixed smooth sphere from the top with negligible initial velocity. What is its tangential acceleration when it breaks off the sphere?

Important Questions on Circular Motion

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A particle of mass $m$ begins to slide down a fixed smooth sphere from the top with negligible initial velocity. What is its tangential acceleration when it breaks off the sphere?