Question

A 10.0 kg beam is attached to a wall by means of a hinge. A cable...

A 10.0 kg beam is attached to a wall by means of a hinge. A cable is attached to the beam at a point halfway across the beam's length and pulls back at an angle of theta=40 degrees. A 5.00 kg box of desserts is attached at the end of the beam. a) What tension T in the support cable is required to maintain equilibrium? b) What vertical force acts on the hinge?

Homework Answers

Answer #1

Here we have given that,

Mass of beam Mb = 10.0 kg

angle of theta=40 degrees

A 5.00 kg box of desserts is attached at the end of the beam ( Md)

a) now for the tension T in the support cable is required to maintain equilibrium we have to take the condition of static equilibrium so that,

Here sum of T = 0 for equilibrium

So that,

TSin40° × L/2 - MbgL/2-MdgL= 0

T = 2× (Mbg/2+Mdg)/Sin40° = (304.92187006464)N

Hence the tension in the support cable will be,

T = (304.92187006464) N

b) for the vertical force acts on the hinge we have

Sum of Fy = 0

So that,

Fv + TSin40° - Mbg - Mdg =

Fv= - (304.92187006464) Sin40° +15×9.8

Fv = 49 N

Hence the vertical force acts on the hinge will be

Fv =  49 N

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 23.0 kg beam is attached to a wall with a hinge while its far end...
A 23.0 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 23.0 kg beam is attached to a wall with a hinge and its far end...
A 23.0 kg beam is attached to a wall with a hinge and its far end is supported by a cable such that the angle between the beam and the cable is 90o. If the beam is inclined at an angle of theta = 25.0o with respect to horizontal, what is the magnitude of the horizontal component of the for ce exerted by the hinge on the beam?
10.0-m long bar is attached by a frictionless hinge to a wall and held horizontal by...
10.0-m long bar is attached by a frictionless hinge to a wall and held horizontal by a rope that makes an angle 53 degrees with the bar. The bar is uniform and weighs 39.9 N. How far from the hinge should a 10.0-m Kg mass suspended from the tension T in the rope to be 125 N?
A uniform bar is attached to a wall by a frictionless hinge at its lower end....
A uniform bar is attached to a wall by a frictionless hinge at its lower end. The bar is held at an angle of 30 degrees above the horizontal by a cable that is attached to the upper end of the bar. The cable makes an angle of 53 degrees with the bar. The tension in the cable is 80 N. A) What is the mass of the bar? B) What are the magnitude and direction of the resultant force...
You decide to hang another plant from a1.5-m-long 2.3-kg beam that is attached by a hinge...
You decide to hang another plant from a1.5-m-long 2.3-kg beam that is attached by a hinge to the wall on the left. You orient the beam at a 39 ∘ angle above the horizontal and orient the cable horizontally from the wall to the end of the beam. The beam holds the 2.3-kg pot and plant hanging 0.1 m from its end. A). Determine the force that the cable exerts on the beam. B).Determine the force that the wall hinge...
A uniform beam of length 1.0 m and mass 10 kg is attached to a wall...
A uniform beam of length 1.0 m and mass 10 kg is attached to a wall by a cable. The beam is free to pivot at the point where it attaches to the wall. What is the tension in the cable? (THE ANGLE IS 30 degrees)
A 110 kg uniform beam is attached to a vertical wall at one end and is...
A 110 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 = 39°.
The weight of the 8.00m long horizontal beam is 200N is attached to a wall by...
The weight of the 8.00m long horizontal beam is 200N is attached to a wall by a pin connection. Its far end is supported by a cable that makes an angle of 53 degrees with the horizontal. Find the tension in the cable and the force exerted by the wall on the beam.
You decide to hang another plant from a 1.5-m-long 2.9-kg beam that is attached by a...
You decide to hang another plant from a 1.5-m-long 2.9-kg beam that is attached by a hinge to the wall on the left. You orient the beam at a 38 ∘ angle above the horizontal and orient the cable horizontally from the wall to the end of the beam. The beam holds the 2.9-kg pot and plant hanging 0.1 m from its end. Determine the force that the cable exerts on the beam. Determine the force that the wall hinge...
In the figure, a uniform beam with a weight of 56.9 N and a length of...
In the figure, a uniform beam with a weight of 56.9 N and a length of 3.75 m is hinged at its lower end, and a horizontal force  of magnitude 58.2 N acts at its upper end. The beam is held vertical by a cable that makes angle θ = 20.8° with the ground and is attached to the beam at height h = 2.04 m. What are (a) the tension in the cable, (b) the x-component of the force on...