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Question: A particle of mass m = 5 units is moving with a uniform speed v = \(3 \sqrt { 2 }\) m/s in the XOY...

A particle of mass m = 5 units is moving with a uniform speed v = 323 \sqrt { 2 } m/s in the XOY plane along the line Y = X + 4. The magnitude of the angular momentum about origin is :

A

Zero

B

60 unit

C

7.5 unit

D

40 2\sqrt { 2 } unit

Answer

60 unit

Explanation

Solution

v = Tμ\sqrt { \frac { \mathrm { T } } { \mu } } = 1.6×0.4102\sqrt { \frac { 1.6 \times 0.4 } { 10 ^ { - 2 } } } = 8 m/s

S = vt = 0.8 = 8 Dt Ž Dt = 0.1 sec