A projectile of mass m is fired from the ground with an initial speed v0 and an initial angle Ѳ0 above the horizontal.
a) Find an expression for the magnitude of its angular momentum about the firing point as a function of time
b) Find the rate at which the angular momentum changes with time.
c) Evaluate the magnitude of r*F directly and compare the result with b) . Why should the result be identical
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a) The angular acceleration is dependant on where the accel due to gravity is perpendicular to the radial arm. Coincidentaly that's the horizontal plane of the canon. In projectile motion you usually assume Vx to be constant and Vy to change. so the angular accel is (tangent accel G) / (radius, which is Vo cos Ѳ times T). Given the angular accel, angular momentum is accel x T x m.
b) differentiate your solution to a) to get rate of change per unit T