Question 3. The cart shown in figure below moves with constant deceleration changing the speed from v0 = 5 m/s to v1 = 1 m/s. After 2 seconds when it reaches the speed v1 it suddenly stops. Write the displacement of the mass as a function of time. Mass m moves without friction on the surface of the cart. Assume positive direction from left to right (direction of motion of the cart). Numerical values: m = 2 kg, k = 1.152 kN/m. V k Ans: x(t) = 3.472 cos 24 t + 41.6 sin 24 t (mm) m L

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Question 3. The cart shown in figure below moves with constant deceleration changing the
speed from v0 = 5 m/s to v1 = 1 m/s.
After 2 seconds when it reaches the speed v1 it suddenly stops.
Write the displacement of the mass as a function of time. Mass m moves without friction on the
surface of the cart. Assume positive direction from left to right (direction of motion of the cart).
Numerical values:
m = 2 kg, k = 1.152 kN/m.
V
k
Ans: x(t) = 3.472 cos 24 t + 41.6 sin 24 t (mm)
m
L
Transcribed Image Text:Question 3. The cart shown in figure below moves with constant deceleration changing the speed from v0 = 5 m/s to v1 = 1 m/s. After 2 seconds when it reaches the speed v1 it suddenly stops. Write the displacement of the mass as a function of time. Mass m moves without friction on the surface of the cart. Assume positive direction from left to right (direction of motion of the cart). Numerical values: m = 2 kg, k = 1.152 kN/m. V k Ans: x(t) = 3.472 cos 24 t + 41.6 sin 24 t (mm) m L
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