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Physics: Equilibrium, balance point

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Please view the attached file for the diagram.

1. A shop sign weighing 215 N is supported by a uniform 135-N beam shown in the figure below. Find the tension in the guy wire and the horizontal and the vertical forces exerted by the pin on the beam.

2. A beam balances 30.0 cm from one end. When a 0.75 kg mass is hung from that end, the balance point moves 8.0 cm toward that end. Find the mass of the beam.

3. A 1.0-m radius flywheel is to be made from steel in the form of a solid disc. If the flywheel when turning at 60 rpm store as much energy as a 100-W lamp uses in one minute, how thick must the flywheel be if the density of steel is 7880 kg.m-3.

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The expert examines equilibrium and balance points in physics.

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7. Questions:

1. A shop sign weighing 215 N is supported by a uniform 135-N beam shown in the figure below. Find the tension in the guy wire and the horizontal and the vertical forces exerted by the pin on the beam.

Let the horizontal and vertical components of the reaction of the pin are Rx and Ry and the tension in the guy wire is T.

The forces acting on the beam are

(1) The reaction of the pin
(2) The tension in the wire
Or
(3) The weight of the sign and
(4) The weight of the beam

As for equilibrium the resultant of all the forces acting on the sign must be zero we get

--------------------------- (1)

And ---------------------------- (2)

As for equilibrium the net ...

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