Question 5 A solid sphere of radius R=0.15 m and mass m=0.9 kg purely rolls with velocity v= 1.1 m/s along a horizontal surface before striking a low curb of height h=0.05 m. The impact with the kerb can be assumed to involve no rebound so that the ball pivots about contact point P. The moment of inertia of the sphere is lo=(2/5) mR² O₂ Calculate the following (a) the angular velocity of the ball before impact V (b) the kinetic energy of the ball before impact (c) the angular momentum of the ball around contact point P just before impact (CW+ve): hint account for both linear and angular motion in the calculation (d) the angular velocity of the ball just after impact (CW+ve). hint calculate the moment of inertia of the ball around point Pusing parallel axis theorem

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Question 5
A solid sphere of radius R = 0.15 m and mass m = 0.9 kg purely rolls with velocity v = 1.1 m/s along a horizontal surface before striking a low curb of height h = 0.05 m. The impact with the kerb can be assumed to involve no rebound so that the ball pivots about contact point P. The moment of inertia of the sphere is IG = (2/5) mR².
Ө
Calculate the following:
(a) the angular velocity of the ball before impact;
(b) the kinetic energy of the ball before impact;
g
G
(c) the angular momentum of the ball around contact point P just before impact (CW +ve);
hint: account for both linear and angular motion in the calculation
A Moving to another question will save this response.
(d) the angular velocity of the ball just after impact (CW +ve).
hint: calculate the moment of inertia of the ball around point P using parallel axis theorem
h
T
<<< Question 5 of 11 > >>
Transcribed Image Text:Question 5 A solid sphere of radius R = 0.15 m and mass m = 0.9 kg purely rolls with velocity v = 1.1 m/s along a horizontal surface before striking a low curb of height h = 0.05 m. The impact with the kerb can be assumed to involve no rebound so that the ball pivots about contact point P. The moment of inertia of the sphere is IG = (2/5) mR². Ө Calculate the following: (a) the angular velocity of the ball before impact; (b) the kinetic energy of the ball before impact; g G (c) the angular momentum of the ball around contact point P just before impact (CW +ve); hint: account for both linear and angular motion in the calculation A Moving to another question will save this response. (d) the angular velocity of the ball just after impact (CW +ve). hint: calculate the moment of inertia of the ball around point P using parallel axis theorem h T <<< Question 5 of 11 > >>
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