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An engineer is designing a conveyor syst...

An engineer is designing a conveyor system for loading lay bales into a wagon. Each bale is 0.25 m high, and 0.80 m long (the dimension perpendicular to the plane of the figure), with mass 30.0 kg. The centre of gravity of each bale is at its geometrical centre. The coefficient of static friction between a bal and the conveyor belt is 0.60, and the belt moves with constant speed. The angle `beta` of the conveyor is slowly increased. At some critical angle a bale will tip (if it doesn't slip first), and at some different critical it will slip (if it doesn't tip first).

Find the first critical angle (In the same conditions ) at which it tips.

A

`beta="tan"^(-1)(0.50)`

B

`beta="tan"^(-1)(0.60)`

C

`beta="tan"^(-1)(0.40)`

D

`beta="tan"^(-1)(0.20)`

Text Solution

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The correct Answer is:
A
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An engineer is designing a conveyor system for loading lay bales into a wagon. Each bale is 0.25 m high, and 0.80 m long (the dimension perpendicular to the plane of the figure), with mass 30.0 kg. The centre of gravity of each bale is at its geometrical centre. The coefficient of static friction between a bal and the conveyor belt is 0.60, and the belt moves with constant speed. The angle beta of the conveyor is slowly increased. At some critical angle a bale will tip (if it doesn't slip first), and at some different critical it will slip (if it doesn't tip first). Find the second critical angle (in the same conditions ) at which it slips.

An engineer is designing a conveyor system for loading lay bales into a wagon. Each bale is 0.25 m high, and 0.80 m long (the dimension perpendicular to the plane of the figure), with mass 30.0 kg. The centre of gravity of each bale is at its geometrical centre. The coefficient of static friction between a bal and the conveyor belt is 0.60, and the belt moves with constant speed. The angle beta of the conveyor is slowly increased. At some critical angle a bale will tip (if it doesn't slip first), and at some different critical it will slip (if it doesn't tip first). Which statement is correct ?

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