Figure 4 shows a 27-kg concrete block that has been positioned on a 20° incline. As shown in the figure, there is space restriction so a rope is used to move the wedge to position the concrete block. At impending motion: a) Draw the free body diagram of the concrete block with an appropriate coordinate system. b) Calculate the direction and magnitude of the contact force from the wedge to the concrete block.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter10: Virtual Work And Potential Energy
Section: Chapter Questions
Problem 10.62P: The bar ABC is supported by three identical, ideal springs. Note that the springs are always...
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Figure 4 shows a 27-kg concrete block that has been positioned on a 20° incline. As shown
in the figure, there is space restriction so a rope is used to move the wedge to position the
concrete block. At impending motion:
a)
Draw the free body diagram of the concrete block with an appropriate coordinate
system.
b)
Calculate the direction and magnitude of the contact force from the wedge to the
concrete block.
1 = 0.2
T
10°.
43 = 0.7
27 kg
l2 = 0.4
20°
Figure 4
c)
Draw the free body diagram. of the wedge and calculate the tension T in the part of the
rope attached to the wedge.
d)
Calculate the pulling force P in the horizontal part of the rope.
Transcribed Image Text:Figure 4 shows a 27-kg concrete block that has been positioned on a 20° incline. As shown in the figure, there is space restriction so a rope is used to move the wedge to position the concrete block. At impending motion: a) Draw the free body diagram of the concrete block with an appropriate coordinate system. b) Calculate the direction and magnitude of the contact force from the wedge to the concrete block. 1 = 0.2 T 10°. 43 = 0.7 27 kg l2 = 0.4 20° Figure 4 c) Draw the free body diagram. of the wedge and calculate the tension T in the part of the rope attached to the wedge. d) Calculate the pulling force P in the horizontal part of the rope.
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