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Question

Question: A ball of mass m is projected with velocity u making an angle q with the horizontal. What is its ang...

A ball of mass m is projected with velocity u making an angle q with the horizontal. What is its angular momentum at the highest point?

A

mu2g\frac{mu}{2g}sin2qcosq

B

mu2g\frac{mu}{2g}sin q cos2q

C

mu32g\frac{mu^{3}}{2g}sinq cos2q

D

mu32g\frac{mu^{3}}{2g}sin2qcosq

Answer

mu32g\frac{mu^{3}}{2g}sin2qcosq

Explanation

Solution

J = mvr = m(u cos q) (u2sin2θ2 g)\left( \frac { \mathrm { u } ^ { 2 } \sin ^ { 2 } \theta } { 2 \mathrm {~g} } \right)