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Question

List down the objects required to make a trolley system.

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Solution

1. Rope: It is tied up on to the trees or rock.
2. Pulley: It slides on the rope.
3. Carriage: People sit inside a carriage.

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Q. A vertical frictionless semicircular track of radius

1

m is fixed on the edge of a movable trolley (figure). Initially the system is rest and a mass m is kept at the top of the track. The trolley starts moving to the right with a uniform horizontal acceleration

a = 2 g / 9

. The mass slides down the track, eventually losing contact with it and dropping to the floor

1.3 m

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1.3 m

is from the point where mass loses contact.

(g = 10 m / s^{2})

Calculate the angle

θ

at which it loses contact with the trolley and the track.

Q. A vertical frictionless semicircular track of radius

1 m

is fixed on the edge of a movable trolley (figure). Initially the system is at rest and a mass

m

is kept at the the top of the track. The trolley starts moving to the right with a uniform horizontal acceleration

a = \frac{2 g}{9}

. The mass slides down the track, eventually losing contact with it and dropping on to the floor. Calculate the angle

θ

at which it loses contact with the trolley and the track.

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