1) The bottom of a dip on the road has radius R. A cycle of mass M left a little away from the bottom oscillates about the dip. Deduce an expression for the period of oscillation.
2) A particle executing SHM has a maximum velocity of 40cm/s and a maximum acceleration of 50cm/s2. Find its amplitude and period of oscillation.
2) A particle executing SHM has a maximum velocity of 40cm/s and a maximum acceleration of 50cm/s2. Find its amplitude and period of oscillation.
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1) It follows the motion of a simple pendulum. T = 2π√[R/g]
2)
A*w = 40
A*w² = 50
so
w = 5/4 → T = 2π/w = 5.03 sec
A = 7.96 cm
2)
A*w = 40
A*w² = 50
so
w = 5/4 → T = 2π/w = 5.03 sec
A = 7.96 cm