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Physics: A shop sign weighing 245N is supported by a uniform 155N beam

A shop sign weighing 245N is supported by a uniform 155N beam. Find the tension in the guy wire and the horizontal and vertical forces exerted by the hinge on the beam
708N, 580N, -6N

The tires of a car make 85 revolutions as the car reduces its speed uniformly from 90km/h to 60km/h. THE tires have a diameter of .90m a) What was the angular acceleration of each tire? b) if the car continues to decelerate at this rate, how much more time is required for it to stop

A figure skater can increase her spin rotation rate from an initial rate of 1.0 rev every 2.0s to a final rate of 3.0rev/s. If her initial moment of inertia was 4.6Kgm's^2 what is her final moment of inertia? How does she accomplish this change?

Two astronauts, one mass 60 and the other 80kg are initially at rest and then they push each other apart. How far apart are they when the lighter astronaut has moved 12 m in outer space?

A bullet is fired vertically into a 1.40kg block of wood at rest directly. above it. IF the bullet has a mass of 29.0g and a speed of 510m/s how high will the block rise after the bulled becomes embedded in it?

145g baseball is dropped from a tree 13,0m above the ground. if it hits the ground with a speed of 8.0m/s what is the average force of resistance on it

A projectile is fired at an angle of 45 degrees from the top of a 165 m cliff with a speed of 175m/s. What will be its speed when it strikes the ground below

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A shop sign weighing 245N is supported by a uniform 155N beam. Find the tension in the guy wire and the horizontal and vertical forces exerted by the hinge on the beam (708N, 580N, -6N)
The forces acting on the beam are shown.
Resolving tension T in the guy wire resolved in horizontal and vertical directions gives horizontal component T cos 35o to the left and Tsin 35o upwards.
Considering equilibrium in horizontal direction we get
------------- (1)
Considering equilibrium in vertical direction we get

Or ------------- (2)
Equating moments (torque) of the forces about hinge point we get

Or
Or T = 406/sin 35o = 708 N
Substituting the value of T in equations (1) and (2) we get

And
The tires of a car make 85 revolutions as the car reduces its speed uniformly from 90km/h to 60km/h. THE tires have a diameter of .90m
a) What was the angular acceleration of each tire?
Like equations of motion for translational motion we can write ...

Solution Summary

In the following posting, the final moments of inertia are examined for weighing a stop sign.

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