Find the horizontal and vertical components of the velocity. Suggestion: determine the horizontal length of the ramp and the total time it takes the ball to roll up the ramp. Then use the fact that distance velocity for each component. time =
Find the horizontal and vertical components of the velocity. Suggestion: determine the horizontal length of the ramp and the total time it takes the ball to roll up the ramp. Then use the fact that distance velocity for each component. time =
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Transcribed Image Text:A wheel with radius 5 cm is being pushed up a ramp at a rate of 8 cm per second. The ramp is 540 cm long,
and 250 cm tall at the end. A point P is marked on the circle as shown (picture is not to scale).
Find the angular velocity of the ball in radians per second.
W=
00/20
Uh = 5 cos
Find the horizontal and vertical components of the velocity. Suggestion: determine the horizontal length of
the ramp and the total time it takes the ball to roll up the ramp. Then use the fact that
distance
velocity
for each component.
time
y = 5 cos
540 cm
+5
0010
+5
radians/sec
X
Uw = 5 cos (1) +5
Write parametric equations for the position of the point P as a function of t, time in seconds after the ball
starts rolling up the ramp. Both x and y are measured in centimeters.
z = 5 cos (¹) +
X
cm/sec
250 cm
X cm/sec
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