EXAMPLE 38, A metre scale AB is held vertically witk isone end A on th

1.	EXAMPLE 38, A metre scale AB is held vertically witk isone end A on the floor and is then allowed to fall. Find thespeed of the other end B tohen it strikes the floor, assumingthat the end on the floor does not slip.
Answer» To find: speed of the other end BSolution:L = length of meterstick = 1 m h = height of center of mass of meterstick = L/2 = 1/2 = 0.5 m m = mass of meterstick w = angular speed just before the stick hits the floor I = moment of inertia of meterstick = mL²/3 Using conservation of energy potential energy = rotational kinetic energy mgh = (0.5) I w² m g (L/2) = (0.5) ( mL²/3) (v/L)² mgL = mv²/3 v = sqrt(3gL) v = sqrt(3 x 9.8 x 1) v = 5.42 m/s Answer: Thus the speed of the other end B when striking the floor is : 5.42m/s

EXAMPLE 38, A metre scale AB is held vertically witk isone end A on the floor and is then allowed to fall. Find thespeed of the other end B tohen it strikes the floor, assumingthat the end on the floor does not slip.

Answer»

To find: speed of the other end BSolution:L = length of meterstick = 1 m

h = height of center of mass of meterstick = L/2 = 1/2 = 0.5 m

m = mass of meterstick

w = angular speed just before the stick hits the floor

I = moment of inertia of meterstick = mL²/3

Using conservation of energy

potential energy = rotational kinetic energy

mgh = (0.5) I w²

m g (L/2) = (0.5) ( mL²/3) (v/L)²

mgL = mv²/3

v = sqrt(3gL)

v = sqrt(3 x 9.8 x 1)

v = 5.42 m/s

Answer: Thus the speed of the other end B when striking the floor is : 5.42m/s

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