# 3. A farm gate shown in Figure 2 below is 3.00 m wide and 1.80 m high, with hinges attached to the top and bottom. The guy wire makes an angle of 30.0° with the top of the gate and is tightened by a turnbuckle to a tension of 200 N. The mass of the gate is 40.0 kg. (A) Make a free body diagram of the gate. (B) Determine the horizontal force exerted by the bottom hinge on the gate. (C) Find the horizontal force exerted by the upper hinge. (D) Determine the combined vertical force exerted by both hinges. 30.0 1.80 m 3.00 m

# 3. A farm gate shown in Figure 2 below is 3.00 m wide and 1.80 m high, with hinges attached to the top and bottom. The guy wire makes an angle of 30.0° with the top of the gate and is tightened by a turnbuckle to a tension of 200 N. The mass of the gate is 40.0 kg. (A) Make a free body diagram of the gate. (B) Determine the horizontal force exerted by the bottom hinge on the gate. (C) Find the horizontal force exerted by the upper hinge. (D) Determine the combined vertical force exerted by both hinges. 30.0 1.80 m 3.00 m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

#3. A farm gate shown in Figure 2 below is 3.00 m wide and 1.80 m high, with hinges attached
to the top and bottom. The guy wire makes an angle of 30.0° with the top of the gate and is
tightened by a turnbuckle to a tension of 200 N. The mass of the gate is 40.0 kg.
(A) Make a free body diagram of the gate.
(B) Determine the horizontal force exerted by the bottom hinge on the gate.
(C) Find the horizontal force exerted by the upper hinge.
(D) Determine the combined vertical force exerted by both hinges.
30.0/
1,80 m
3.00 m
#4. A crane of mass 3000 kg supports a load of 10 000 kg as shown in Figure 2. The crane is
pivoted with a frictionless pin at A and rests against a smooth support at B.
A. Show the free body diagram of the crane.
B. Find the reaction forces at A and B.
1.00 m
(3 000 kg)g
B
2.00 m
10 000 kg
6.00 m

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