a) A shop sign weighing 210N hangs from the end of a uniform180-N beam as shown

Question

a) A shop sign weighing 210N hangs from the end of a uniform180-N beam as shown in (Figure 1) .

b) Find the horizontal force exerted by the hinge on the beam at the wall.

Express your answer to three significant figures and include the appropriate units. Enter positive value if the direction of the force is to the right and negative value if the direction of the force is to the left.

c)

Find the vertical force exerted by the hinge on the beam at the wall.

Express your answer to three significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.

a) A shop sign weighing 210N hangs from the end of a uniform180-N beam as shown in (Figure 1) . b) Find the horizontal force exerted by the hinge on the beam at the wall. Express your answer to three significant figures and include the appropriate units. Enter positive value if the direction of the force is to the right and negative value if the direction of the force is to the left. c) Find the vertical force exerted by the hinge on the beam at the wall. Express your answer to three significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.

Explanation / Answer

The sign is acting by 210 N downward at 1.7 m from left
The beam is acting by 180 N downward at 0.85 m from left
The rope is acting by an inclined force (T N) at 1.35 m

Since the system is in equilibrium then the moment at any point is zero

Taking the moment at the left end of the beam so that the affect of the wall reaction is not regarded the we ca write the equation:

M = -( 180

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