Figure shows a plank of mass m moving at speed u on a smooth surface. A spinning ball (sphere) of mass m and radius r normally strikes it at speed v. The friction coefficient between ball and upper surface of plank is μ = 0.5 and coefficient of restitution is e = 0.5. Find the angular velocity of sphere just after collision.
see full answer
High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET
🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.
An Intiative by Sri Chaitanya
a
124μvr
b
154μvr
c
156μr
d
154vr
answer is B.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
As shown in figure if we write impulse = change in momentumequations mu−J2=mv2 mv−J1=−mv2 ⇒J1=32mv 0+J2=mv1⇒v1=32μv=34vvelocity of ball vball=(v/2)2+(3v/4)2=134vwe also have 25mr2ω−J2r=25mr2ω125mr2ω−μ32mvr==25mr2ω1ω1=154μvr