1. A person is jumping from a height ho = 10 m with zero initial velocity and a cricket ball is thrown directly upward with an initial velocity vo = 9.8 m/s at the same instant when time t = 0 s as shown in Fig. 1. Consider h = 11.5 m and î and ĵ to be the unit vectors along the X and Y axis. Gravity is acting along the -ĵ direction and the magnitude of gravitational acceleration is given by g = 9.81 m/s². The red dot on the person represents his center of mass. 60 kg h 0.2 kg 5 m 15 m Fig. 1 (a) If the person and the cricket ball consist of a system, find the position and velocity of the center of mass of the system at time t = 0.5 s. (b) . ground, calculate the average force acting on the person. If it takes 0.01 seconds for the person to come to complete rest when he hits the (c) Now consider when the person hits the ground, he bends his knees such that the center of mass of his body is lowered by 15 cm. If the maximum force that the bone of his legs can withstand is 50000 N, will he break his legs?
1. A person is jumping from a height ho = 10 m with zero initial velocity and a cricket ball is thrown directly upward with an initial velocity vo = 9.8 m/s at the same instant when time t = 0 s as shown in Fig. 1. Consider h = 11.5 m and î and ĵ to be the unit vectors along the X and Y axis. Gravity is acting along the -ĵ direction and the magnitude of gravitational acceleration is given by g = 9.81 m/s². The red dot on the person represents his center of mass. 60 kg h 0.2 kg 5 m 15 m Fig. 1 (a) If the person and the cricket ball consist of a system, find the position and velocity of the center of mass of the system at time t = 0.5 s. (b) . ground, calculate the average force acting on the person. If it takes 0.01 seconds for the person to come to complete rest when he hits the (c) Now consider when the person hits the ground, he bends his knees such that the center of mass of his body is lowered by 15 cm. If the maximum force that the bone of his legs can withstand is 50000 N, will he break his legs?
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Transcribed Image Text:1. A person is jumping from a height ho = 10 m with zero initial velocity and a cricket ball is
thrown directly upward with an initial velocity vo = 9.8 m/s at the same instant when time t = 0 s
as shown in Fig. 1. Consider h = 11.5 m and î and ĵ to be the unit vectors along the X and Y
axis. Gravity is acting along the -ĵ direction and the magnitude of gravitational acceleration is
given by g = 9.81 m/s². The red dot on the person represents his center of mass.
Y
60 kg
h
Vo
0.2 kg
5 m
15 m
Fig. 1
(a)
of the center of mass of the system at time t= 0.5 s.
(b)
ground, calculate the average force acting on the person.
(c)
If the person and the cricket ball consist of a system, find the position and velocity
If it takes 0.01 seconds for the person to come to complete rest when he hits the
Now consider when the person hits the ground, he bends his knees such that the
center of mass of his body is lowered by 15 cm. If the maximum force that the bone of his legs
can withstand is 50000 N, will he break his legs?
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