T1 40° 75% pivot/hinge A vertical 200 kg board is held stationary by two lightweight ropes and a pivot/hinge at the base as shown in the figure. String one is attached to the board 8 m above the ground, while string two is attached to the board 16 meters above the ground. The tension in string one is 1000 N. a) Draw and label an extended body diagram for all forces producing torque about the pivot. (- b) Draw and label a free body diagram of the forces acting on the board c) Calculate the magnitude of the tension in rope 2: d) Calculate the x component of the normal force of the hinge on the board e) Calculate the y component of the normal force of the hinge on the board T2 =?

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter4: Coplanar Equilibrium Analysis
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Problem 4.41P: The center of gravity of the 3000-lb car is at G. The car is parked on an incline with the parking...
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L.
T1
40°
75
pivot/hinge
A vertical 200 kg board is held stationary by two lightweight ropes and a pivot/hinge
at the base as shown in the figure. String one is attached to the board 8
ground, while string two is attached to the board 16 meters above the ground. The
tension in string one is 1000 N.
above the
a) Draw and label an extended body diagram for all forces producing torque about
the pivot. (-
b) Draw and label a free body diagram of the forces acting on the board
c) Calculate the magnitude of the tension in rope 2
d) Calculate the x component of the normal force of the hinge on the board
e) Calculate the y component of the normal force of the hinge on the board
T2 =?
Transcribed Image Text:L. T1 40° 75 pivot/hinge A vertical 200 kg board is held stationary by two lightweight ropes and a pivot/hinge at the base as shown in the figure. String one is attached to the board 8 ground, while string two is attached to the board 16 meters above the ground. The tension in string one is 1000 N. above the a) Draw and label an extended body diagram for all forces producing torque about the pivot. (- b) Draw and label a free body diagram of the forces acting on the board c) Calculate the magnitude of the tension in rope 2 d) Calculate the x component of the normal force of the hinge on the board e) Calculate the y component of the normal force of the hinge on the board T2 =?
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