Find out the velocity of the mass, Mechanical Engineering

Assignment Help:

Find out the velocity of the mass:

A mass of weight 29.4 Newton is subjected into a time dependent force,

F(t) = (3t 3 + 5) along x direction. Find out the velocity of the mass after

3 seconds, if initial velocity = 4 metres per second.

Solution

Letting the impulse momentum equation during a period from 0 to 3 seconds

444_Find out the velocity of the mass.png

where, mass m = W/g = 29.4 /9.8 = 3 kg.

and

V_{(t = 0)} = 4 m / sec

1195_Find out the velocity of the mass1.png

∴ V₃ - 4 = 14

or, V₃ after 3 seconds = 18 metres/sec along x direction.

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