A 3.20-m-long, 500 kg steel uniform beam extends horizontally from the point where it has been...

A 3.20-m-long, 500 kg steel uniform beam extends horizontally from the point where it has been bolted to the framework of a new building under construction. A 70 kg construction worker stands at the far end of the beam.

What is the magnitude of the torque about the bolt due to the worker and the weight of the beam?

Solutions

Expert Solution

Given,

L = 3.20 m

m = 500 kg

Mass at the end of the beam = 70 kg

The steel beam, assuming that it is uniform in mass, should have its downward force exactly in the middle. Think of the steel beam as a point particle, and all the mass is focused at its center.

The product of its weight and one-half its length will give you its torque. And the person is standing at the edge at that distance, there is another downward force there. Then sum up all the torques. The torque of the beam is mgl/2.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A uniform beam is 5.00 m long and has a mass of 53.0 kg. The beam...

A uniform beam is 5.00 m long and has a mass of 53.0 kg. The beam is supported in a horizontal position by a hinge and a cable, with angle ? = 115°. (a) Draw all the forces acting on the beam. (b) Label the axis of rotation and the position vectors of each point of action. (c) What is the tension on the cable? (d) What are the magnitude of the vertical and horizontal forces acting on the hinge?...

Consider a long (length = 15 m) uniform wooden beam (mass = 60 kg) attached horizontally...

Consider a long (length = 15 m) uniform wooden beam (mass = 60 kg) attached horizontally to a wall that can only support a vertical load ( The horizontal component of the force of the wall on the beam is identically zero). There is a chandelier (mass = 40 kg) hanging at a distance = 4.21 meter from the end of the beam that is attached to the wall. There is a vertical cable hanging down from the ceiling that...

Two people are carrying a uniform 3 m long steel beam that has a total mass...

Two people are carrying a uniform 3 m long steel beam that has a total mass of 32.1 kg. One person is supporting it at the far left end with an upward force of 120 N, while the second one is supporting it somewhere near the right end with an unknown force. How much force is required from the second person in order to balance the beam? H ow far from the right end must the second person lift in...

a 3 m long beam with a mass of 35 is balanced horizontally on a fulcrum...

a 3 m long beam with a mass of 35 is balanced horizontally on a fulcrum (pivot) while a person stands at one end of the beam. the position of the fulcrum is .65 m from the end of the beam where the person is standing. what is the mass of the person?

A uniform steel beam of length 5.00 m has a weight of 4.50 ✕ 10^3 N....

A uniform steel beam of length 5.00 m has a weight of 4.50 ✕ 10^3 N. One end of the beam is bolted to a vertical wall. The beam is held in a horizontal position by a cable attached between the other end of the beam and a point on the wall. The cable makes an angle of 25.0° above the horizontal. A load whose weight is 12.0 ✕ 10^3 N is hung from the beam at a point that...

In a city park a nonuniform wooden beam 9.00 m long is suspended horizontally by a...

In a city park a nonuniform wooden beam 9.00 m long is suspended horizontally by a light steel cable at each end. The cable at the left-hand end makes an angle of 30.0∘ with the vertical and has tension 630 N. The cable at the right-hand end of the beam makes an angle of 50.0∘ with the vertical. a) As an employee of the Parks and Recreation Department, you are asked to find the weight of the beam. b) Find...

(1) A simply supported steel beam is 30' long and subjected to a uniform distributed 1.3...

(1) A simply supported steel beam is 30' long and subjected to a uniform distributed 1.3 kips per foot. What is the minimum required section modulus for this beam if we do not want its maximum stress to exceed 50 ksi? (2) What is the minimum inertia of the beam in the previous question if we do not want it to deflect more than 1/2" ?

A 4-m long, 150-kg steel beam is attached to a wall with one end connected to a hinge that allows the beam to rotate up and down

A 4-m long, 150-kg steel beam is attached to a wall with one end connected to a hinge that allows the beam to rotate up and down. The other end of the beam is held in a horizontal position with a cable that makes a 27° angle with the beam and is attached to the wall (see (Figure 1) ). What is the tension force that keeps this beam in static equilibrium?

An 80 kg construction worker sits down on a horizontal uniform steel beam of mass 1450...

An 80 kg construction worker sits down on a horizontal uniform steel beam of mass 1450 kg and length 6.0 m to eat lunch. The left end of the beam is fixed to a wall by a frictionless pivot. The right end of the beam is held up by a steel cable that makes an angle 35o with the beam and is attached to the wall somewhere above the pivot. The construction worker sits 2.0m from the steel cable’s attachment...

A brass rod 25.00 mm long and 5.00 mm in diameter extends horizontally from a casting...

A brass rod 25.00 mm long and 5.00 mm in diameter extends horizontally from a casting at 200°C. The rod is in an air environment with T∞ =20°C and h=30 W/m2·K. What is the temperature of the rod 6.25, 12.50, and 25.00 mm from the casting?

Subjects