How to find cord tension and hinge force?

AI Thread Summary
To find the cord tension and hinge force for a 5 kg beam hanging at a 30-degree angle with a 10 kg mass, start by drawing a free body diagram. Apply the principle of static equilibrium, where the clockwise torque equals the counterclockwise torque. The calculated values for tension and hinge force are 69N and 130N, respectively. Ensure to account for all forces acting on the beam, including the weight of the beam and the attached mass. This method will yield the required forces accurately.
matahari
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Homework Statement


A 5 kg 10 m beam is hanging from a wall. The angle between the cord and the wall is 30 degrees, and a 10kg mass is situated one meter away from the wall. How do I solve for cord tension and hinge force?

Homework Equations


Torque_cw=Torque_ccw?

The Attempt at a Solution


it says the answers are 69N and 130N for tension and force respectively.
 
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matahari said:

Homework Statement


A 5 kg 10 m beam is hanging from a wall. The angle between the cord and the wall is 30 degrees, and a 10kg mass is situated one meter away from the wall. How do I solve for cord tension and hinge force?

Homework Equations


Torque_cw=Torque_ccw?

The Attempt at a Solution


it says the answers are 69N and 130N for tension and force respectively.

Draw a free body diagram of the beam and the cord, with the weight attached to the beam.

Write equations of static equilibrium for the free body so that you can determine the unknown tension and the hinge force.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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