Answer:
D. N= 11. 22 rad/s (CW)
Explanation:
Given that
Form factor R = 8
Speed of sun gear = 5 rad/s (CW)
Speed of ring gear = 12 rad/s (CW)
Lets take speed of carrier gear is N
From Algebraic method ,the relationship between speed and form factor given as follows
here negative sign means that ring and sun gear rotates in opposite direction
Lets take CW as positive and ACW as negative.
Now by putting the values
N= 11. 22 rad/s (CW)
So the speed of carrier gear is 11.22 rad/s clockwise.
Answer:
a) 17.20
b) 11.31
c) 14.42
d) 12.65
Explanation:
(a)
The girl is at the origin of the x,y coordinates (i.e 0,0,0 )
the position vector of the car at time 't' secs is
at t=2s, the position vector is
Therefore, the the distance between the car and the girl is
s = 17.20
(b)
The position of the car at t = 0s is
The position of the car at t = 2s is
The distance of the car traveled in the interval from t=0s to t=2 s is as follows:
(c)
The position vector of the car at time 't' secs is
The velocity of the car is
the direction of the car's velocity at t = 2s is going to be
Thus; The speed of the car is
(d) the car's acceleration is:
The magnitude of car's acceleration at t=2s is