s Rio Grande Valley Luis Fau My Courses Studen uestion Completion Status: answer
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s Rio Grande Valley Luis Fau My Courses Studen uestion Completion Status: answer with two significant figures). 3 points (Extra Credit) Save Answe QUESTION 5 A tion basketball has a 25.0 cm diameter and a mass of 0.560 kg. It may be a as a thin spherical shell with a moment of inertia 2 MR2 Starting regula from rest, how long will ittake a basketball to roll without slippang 400 m down an incline at 30.0 to the horizontal? (Gme your answer with three sigificant figure 2 points Sawed QUESTION 6 A uniform beam having a mass of 60 kg and a length of 2 sm held in place at its lower end by a pin Its upper end leans against a vertical frietonless wall as slowr in the figure. What is the magmatude of the force the pin exerts on the beam? (Give your answer in kN with three sigaficant figues)Explanation / Answer
The moment of inertia of the ball is 2/3*mr^2.
The initial height of the ball is h = 4*sin(30)
The initial potential energy is mgh = mg*4*sin(30).
The potential energy converts into kinetic energy = 1/2*mv^2 and rotation energy = 1/*I*^2
with = v/r.
4mgsin30 = 1/2*mv^2 + 1/2*(2/3*mr^2)*v^2/r^2
4mgsin30 = 1/2*mv^2 + 1/3*mv^2
4mgsin30 = 5/6*mv^2
4gsin30 = 5/6*v^2
v^2 = 24gsin30/5
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find the acceleration:
v^2 = 2as = 2*4*a
a = v^2/8
a = 24gsin30/(5*8)
a = 2.943 m/s^2
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find the time by
s = 1/2*at^2
t^2 = 2s/a
t^2 = 2*4/2.943
t = 1.649 s ---> answer
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