Wpe

Question 1

For a ball kept over a hemisphere angle at which the ball will leave contact with its initial velocity being 0+

Answer 1

Cos(2/3)

Question 2

If a block is moving very slowly for a distance of L on a hill till height H then work done by the agent? Given that force is being applied tangential

Answer 2

W agent = μmgL + mgH

Question 3

For a ball kept on a hemispherical wedge when released with a velocity of V° then θ at which it will be leaving contact with the wedge is?

Answer 3

θ = (1/ cos) [ (V°^2+ 2gR ) / 3gR ]

Question 4

For a ball kept on a hemispherical wedge when released from a general θ° formed by the Y-axis with velocity zero then θ at which it will leave contact with the surface?

Answer 4

θ= 1/cos [ 2 cos θ° / 3 ]

Question 5

For a pendulum released from θ° Max tension will be at?

Answer 5

T max = mg( 3 - 2 cos θ°)

Question 6

Min velocity for a ball in form of pendulum to complete a circle

Answer 6

V° = √(5gL)

Question 7

When a pendulum at rest is given a force of V° then at general θ its tension will be?

Answer 7

T at that θ = ( 3 mg cosθ - 2mg ) + mV°^2/ L

Where L is the length of the string from which it is hanging

Question 8

A pendulum at rest is given a velocity of V°. (When it passes more than 90°) what should be the angle formed by the pendulum with the horizontal so that it will pass through the point of suspension

Answer 8

Sin Φ = V°^2 - 2gL / 3gL

Question 9

A pendulum at rest is given a velocity of V°. (When it passes more than 90°) what should be the minimum velocity of the pendulum so that it will pass through the point of suspension?

Answer 9

V° = √ [ (√3 + 2 ) gL ]

Question 10

Minimum V° for a ball to complete the elliptical track [ eqn of ellipse : x^2 /a^2 + y^2 / b^2 = 1

Answer 10

V° = √ [ g ( 4b^2 + a^2 ) / b ]