A particle moves in simple harmonic motion. Knowing that the maximum velocity is 200 mm/s
and the maximum acceleration is 4 m/s2, determine the amplitude and frequency of the motion.
The motion of the 2.5-kg rod AB is guided by two small wheels that roll freely in horizontal
slots. If a force P of magnitude 8 N is applied at B, detrmine
The acceleration of therod .
a=8 N /2.5 kg=3.20 m/ s
The reactions at AB .
A 35000-Mg ocean liner has an initial velocity of 4 km/h. Neglecting the frictional resistance of
the water, determine the time required to bring the liner to rest by using a single tugboat that
exerts a constant force of 150 kN. (Round the final answer t
In an ore-mixing operation, a bucket full of ore is suspended from a traveling crane which along
a stationary bridge. The bucket is to swing no more than 10 ft horizontally when the crane is
brought to a sudden stop.
Determine the maximum allowable speed
The acceleration of a particle is defined by the relation a = kr2.
Knowing that v = -8 m/s when t = 0 and that v = +8 m/s when t = 2 s, determine the
dv=k r 2 dt
( k3 )r + c
v =( ) r 8
Write the equations