MENG233: RIGID BODY DYNAMICS
HOMEWORK #1
DUE DATE: 20 th October 2011
Q1. When a train is traveling along a straight track at 2 m/s, it begins to accelerate at a=(60v-4) m/s2,
where v is in m/s. Determine the velocity and position 3 s after acceleration
Q2. Ball A is released from rest at a height of 12 m at the
same time that a ball B is thrown upward 1.5 m from the
ground. If the balls pass one another at a height of 6 m,
determine the speed at which ball B was thrown upward
Q3. Determine the horizontal velocity
vA of a tennis ball at A so that it just
clears the net B. Also, find the distance
s where the ball strikes the ground
Q4. If a particle’s position is described by the polar coordinates r=(2 sin 2θ) m and θ = (4t) rad, where
t is in seconds, determine the radial and tangential components of its velocity and acceleration when
t = 1s.
Q5. At the instant shown, cars A and B are traveling at
speeds of 48 km/h and 32 km/h respectively. If B is
increasing its speed by 1920 km/h2, while A maintains a
constant speed, determine the velocity and acceleration of
B with respect to A.