(a) Figure P9.36 shows three points in the operation of the ballistic pendulum discussed in Example 9.6 (and shown in Fig. 9.10b). The projectile approaches the pendulum in Figure P9.36a. Figure P9.36b shows the situation just after the projectile is captured in the pendulum. In Figure P9.36c, the pendulum arm has swung upward and come to rest momentarily at a height A above its initial position. Prove that the ratio of the kinetic energy of the projectile–pendulum system immediately after the collision to the kinetic energy immediately before is m 1| /( m 1 + m 2 ). (b) What is the ratio of the momentum of the system immediately after the collision to the momentum immediately before? (c) A student believes that such a large decrease in mechanical energy must be accompanied by at least a small decrease in momentum. How would you convince this student of the truth? Figure P9.36 Problem. 36 and 43. (a) A metal ball moves toward the pendulum. (b) The ball is captured by the pendulum. (c) The ball–pendulum combination swings up through a height h before coming to rest.
(a) Figure P9.36 shows three points in the operation of the ballistic pendulum discussed in Example 9.6 (and shown in Fig. 9.10b). The projectile approaches the pendulum in Figure P9.36a. Figure P9.36b shows the situation just after the projectile is captured in the pendulum. In Figure P9.36c, the pendulum arm has swung upward and come to rest momentarily at a height A above its initial position. Prove that the ratio of the kinetic energy of the projectile–pendulum system immediately after the collision to the kinetic energy immediately before is m 1| /( m 1 + m 2 ). (b) What is the ratio of the momentum of the system immediately after the collision to the momentum immediately before? (c) A student believes that such a large decrease in mechanical energy must be accompanied by at least a small decrease in momentum. How would you convince this student of the truth? Figure P9.36 Problem. 36 and 43. (a) A metal ball moves toward the pendulum. (b) The ball is captured by the pendulum. (c) The ball–pendulum combination swings up through a height h before coming to rest.
(a) Figure P9.36 shows three points in the operation of the ballistic pendulum discussed in Example 9.6 (and shown in Fig. 9.10b). The projectile approaches the pendulum in Figure P9.36a. Figure P9.36b shows the situation just after the projectile is captured in the pendulum. In Figure P9.36c, the pendulum arm has swung upward and come to rest momentarily at a height A above its initial position. Prove that the ratio of the kinetic energy of the projectile–pendulum system immediately after the collision to the kinetic energy immediately before is m1|/(m1 + m2). (b) What is the ratio of the momentum of the system immediately after the collision to the momentum immediately before? (c) A student believes that such a large decrease in mechanical energy must be accompanied by at least a small decrease in momentum. How would you convince this student of the truth?
Figure P9.36 Problem. 36 and 43. (a) A metal ball moves toward the pendulum. (b) The ball is captured by the pendulum. (c) The ball–pendulum combination swings up through a height h before coming to rest.
The shear leg derrick is used to haul the 200-kg net of fish onto the dock as shown in. Assume the force in each leg acts along
its axis.
5.6 m.
4 m-
B
Part A
Determine the compressive force along leg AB.
Express your answer to three significant figures and include the appropriate units.
FAB =
Value
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Part B
Units
?
Determine the compressive force along leg CB.
Express your answer to three significant figures and include the appropriate units.
FCB=
Value
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Part C
?
Units
Determine the tension in the winch cable DB.
Express your answer with the appropriate units.
2m
Part A
(Figure 1) shows a bucket suspended from a cable by means of a small
pulley at C.
If the bucket and its contents have a mass of 10 kg, determine the location of the pulley for equilibrium. The cable is 6 m long.
Express your answer to three significant figures and include the appropriate units.
Figure
4 m
B
НА
x =
Value
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<
1 of 1
T
1 m
Units
?
The particle in is in equilibrium and F4 = 165 lb.
Part A
Determine the magnitude of F1.
Express your answer in pounds to three significant figures.
ΑΣΦ
tvec
F₁ =
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Part B
Determine the magnitude of F2.
Express your answer in pounds to three significant figures.
ΑΣΦ
It vec
F2 =
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Part C
Determine the magnitude of F3.
Express your answer in pounds to three significant figures.
?
?
lb
lb
F₂
225 lb
135°
45°
30°
-60°-
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