A 2.32-m rod of negligible mass has one end hinged to a wall and the other end s
ID: 2037132 • Letter: A
Question
A 2.32-m rod of negligible mass has one end hinged to a wall and the other end suspended by a cable 3.30 m in length. A square board of length 1.39 m and mass 18.0 kg is hung on the rod as shown in the figure.
What is the tension in the cable?
173.7 N
What are the magnitude and direction of the horizontal component of the force on the rod from the hinge?
Right
Left
What are the magnitude and direction of the vertical component of the force on the rod from the hinge?
Upward
Downward
Your receipt no. is 157-2874 Previous Tries
Explanation / Answer
Fx = horizontal component of force on hinge = ?
Using equilibrium of force in horizontal direction
Fx = T Cos45.33
Fx = 173.7 Cos45.33 = 122.1 N
direction : right
Fy = vertical component of force at hinge = ?
Using equilibrium of force in vertical direction
T Sin45.33 + Fy = mg
173.7 Sin45.33 + Fy = (18 x 9.8)
Fy = 52.87 N
direction : Upward
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