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Angle of Repose

A ball is rel...

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A ball is released from top of the smooth vertical tube .The angle made by the ball with vertical when it just leaves the contact from the inner surface of the tube

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Q. A circular tube of mass M is placed vertically on a horizontal surface as shown in the figure. Two small spheres, each of mass m, just fit in the tube, are released from the top. If

θ

gives the angle between radius vector of either ball with the vertical, obtain the value of the ratio M/m if the tube breaks its contact with ground when

θ = 60^{\circ} .

Neglect any friction.

Q. A circular tube of mass

M

is placed vertically on a horizontal surface as shown in the figure. Two small spheres, each of mass

m

, just fit in the tube are released from the top, as shown in the figure. If

θ

gives the angle between radius vector of either ball with the vertical, obtain the value of the ratio

m / M

for which the tube breaks its contact with ground when

θ = 60^{\circ}

(Ignore any friction)

Q. The minimum speed ball should have inside a smooth vertical tube when released from a height of

h = 2 cm

as shown in the figure so that it may reach the top of the tube is
(Take

g = 10 m / s^{2}

Q. The minimum speed ball should have inside a smooth vertical tube when released from a height of

h = 2 cm

as shown in the figure so that it may reach the top of the tube is
(Take

g = 10 m / s^{2}

Q. With what minimum speed

v

must a small ball be pushed inside a smooth vertical tube from a height

h

so that it may reach the top of the tube? Radius of the tube is

R

. (Assume radius of the ball is very small).

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