1. No category

2)
1)
3)
4. The mechanism shown is known as a Whitworth quick-return mechanism. The input rod AP rotates, and the pin P
is free to slide in the slot of the output rod BD. Determine r, , r, , r and  . Take
 =5 rad/s2, l=1m, b=0.25 m.
r
=30o,  =1
rad/s,
5. Pin P is attached to BC and slides freely in the slot of OA. BC has a speed of v o and an acceleration of ao. Determine
r, , r,  when =30o, =37o. vo=3 m/s, ao=5 m/s2, h=0.5 m.
B
vo, ao
A
P
h
r
O
C
6. Particle P moves along a curvilinear path as shown in the figure. At the instant when r=2 m, =30o, the magnitude of its
velocity is 3.2 m/s and the velocity vector makes an angle of =60o with the horizontal. The y-component of the acceleration of
particle P is ay=5 m/s2; its r-component is ar=1.83 m/s2. Determine,
a) Components of the velocity and acceleration in Cartesian Coordinates,
b) Components of the velocity and acceleration in Normal and Tangential Coordinates and radius of curvature of the path
for the same instant,
c) Components of the velocity and acceleration in Polar Coordinates.
y

v
P

r

7 . Particle A is moving along a parabolic path defined by the
equation y 
3 2
x
16
x
y (m)
. At the instant when the abscissa of its
position is x = 2 m, its velocity is 6.45 m/s and it decreases at a rate
of 15 m/s per second. Determine the velocity and acceleration of
y
3 2
x
16
the particle for this instant in
a) Cartesian coordinates,
b) Normal and tangential coordinates,
c)
Polar coordinates.
A
x=2
x (m)