Question

In: Physics

In the figure shown, one end of a uniform beam that weighs 827. N is attached to a wall with a hinge.

In the figure shown, one end of a uniform beam that weighs 827. N is attached to a wall with a hinge. The other end is held up by a wire. So the beam is in static equilibrium. There is an unknown horizontal and an unknown vertical force on the hinge.
Hinge 304

(a) Find the tension in the wire.
N
(b) What is the horizontal component of the force of the hinge on the beam?
N
(c) What is the vertical component of the force of the hinge on the beam?
N

Expert Solution

Use the FBD to find the forces,

Figure 1

or,

Figure 2

(a)

Use the equation of rotational equlibrium to find tension,

Take moment about hing,(use figure 2),

Take length of beam L,

(b) Use figure 1 to find horizontal equlibrium equaiton on the beam,

c) Use figure 1 to find vertical equlibrium equlibrium equaiton on the beam,

Therefore,

a) Tension in wire is 716 N,

b) Unknown horizontal hing force is 358 N

c) Unknown vertical hing foce is 207 N,

genius_generous answered 2 years ago

A beam that weighs 200 N is connected to a wall by a hinge so that...

A beam that weighs 200 N is connected to a wall by a hinge so that it makes an angle of θ = 30.0◦ with the horizontal. The beam is 1.50 m long and is held in place by a cable that runs horizontally from the end of the beam to the wall. A box that weighs 100 N hangs from the end of the beam. Calculate a) the tension in the cable connected to the wall and b) the...

A 100 kg uniform beam is attached to a vertical wall at one end and is...

A 100 kg uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. Calculate the magnitude of the vertical component of the force that the wall exerts on the left end of the beam if the angle between the cable and horizontal is θ = 43°. The angle between the horizontal and the beam is 30 degrees.

A 28.0 kg beam is attached to a wall with a hinge while its far end...

A 28.0 kg beam is attached to a wall with a hinge while its far end is supported by a cable such that the beam is horizontal. If the angle between the beam and the cable is θ = 57.0° what is the vertical component of the force exerted by the hinge on the beam?

A 1220-N uniform beam is hinged at a vertical wall at one end and is supported...

A 1220-N uniform beam is hinged at a vertical wall at one end and is supported by a cable that is attached to the beam at the other end. A 200-kg load hangs at the end of the beam. The lower end of the beam makes an angle of 30° above the horizontal, while the supporting cable is attached to the wall at an angle of 40°, as shown. (a) Calculate the magnitude of the tension in the supporting cable....

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 18.4 kg beam is attached to a wall by a hinge and it hangs out horizontally.

1. An 18.4 kg beam is attached to a wall by a hinge and it hangs out horizontally. From the end of the beam, a 27.1 kg metal sculpture is hung. A cable is attached to the wall above the beam and is attached to the beam. The cable makes an angle of 18.9 degrees with the wall. It attaches to the beam 2/7 of the way down from the hinge. What is the tension in the cable?2. A 31...

A horizontal 14.9 kg beam 2.1 m long is attached to the wall by a hinge at its left end.

A horizontal 14.9 kg beam 2.1 m long is attached to the wall by a hinge at its left end. A cable is connected from the right end of the beam to the wall, at an angle of 27 ° above the beam, as shown below. A 55 kg sign is hung 1.6 m from the left end of the beam.Part A - Find the tension in the cable.Part B - Find the horizontal force exerted on the wall by the hinge.Part...

one end of a uniform beam of mass 5 kg is mounted at the wall by...

one end of a uniform beam of mass 5 kg is mounted at the wall by hinges and the other end is held by a cable which is connected to the ceiling. The cable forms a 60 degree angle with the horizontal beam. Applying the equilibrium condition, find the force of tension at the cable and the vertical and horizontal components of the force of the hinge Fv and Fh on the beam and indicate their directions.

Two identical uniform solid spheres are attached by a solid uniform thin rod, as shown in the figure.

Two identical uniform solid spheres are attached by a solid uniform thin rod, as shown in the figure. The rod lies on a line connecting the centers of mass of the two spheres. The axes A, B, C, and D are in the plane of the page (which also contains the centers of mass of the spheres and the rod), while axes E and F (represented by black dots) are perpendicular to the page. (Figure 1).Rank the moments of inertia...

A uniform ladder is 16 m long and weighs 240 N. In the figure, the ladder...

A uniform ladder is 16 m long and weighs 240 N. In the figure, the ladder leans against a vertical, frictionless wall at height h = 7.0 m above the ground. A horizontal force F→ is applied to the ladder at distance d = 2.8 m from its base (measured along the ladder). If force magnitude F = 46 N, what are (a)x-, (b)y-components of the force of the ground on the ladder? If F = 140 N, what are...