a) Draw the free body diagram for the cart and all forces acting on the cart. b) If force changes with time, is the acceleration constant or does it also change with time? c) Determine the general equation for acceleration for the motion of the particle and find the acceleration at t = 10 s.

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Q3
The 100 kg cart is hoisted up the hill with a motor driven cable system in Figure 2. The
force in the cable is F= (0.8t+1000) N, where tis measured in seconds. The cart
starts from rest. The total coefficient of friction between the wheels and the hill is 0.2.
Use g = 9.81 m/s?.
300m
400m
Figure 2
a) Draw the free body diagram for the cart and all forces acting on the cart.
b) If force changes with time, is the acceleration constant or does it also change
with time?
c) Determine the general equation for acceleration for the motion of the particle
and find the acceleration at t = 10 s.
d) Determine the general equation for velocity for the motion of the particle and find
the velocity at t = 10 seconds
e) Determine the general displacement equation for the motion of the particle and
find the displacement at t = 10 seconds.
Transcribed Image Text:Q3 The 100 kg cart is hoisted up the hill with a motor driven cable system in Figure 2. The force in the cable is F= (0.8t+1000) N, where tis measured in seconds. The cart starts from rest. The total coefficient of friction between the wheels and the hill is 0.2. Use g = 9.81 m/s?. 300m 400m Figure 2 a) Draw the free body diagram for the cart and all forces acting on the cart. b) If force changes with time, is the acceleration constant or does it also change with time? c) Determine the general equation for acceleration for the motion of the particle and find the acceleration at t = 10 s. d) Determine the general equation for velocity for the motion of the particle and find the velocity at t = 10 seconds e) Determine the general displacement equation for the motion of the particle and find the displacement at t = 10 seconds.
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