In a mine, a 100 kg boulder is transported at a velocity of VA=0.1 m/s before it slides down a chute with the geometry in the figure (h=1 m, d=[d] m). The boulder has a friction coefficient of 0.2 with the chute. Include all handwritten solutions and free-body diagrams. Show all your workings; final results without working will not receive marks. Assume g=10 m/s². A. Determine the velocity vector of the boulder in your defined coordinated system with and without friction just before it leaves the chute. Use the energy-work relation.

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In a mine, a 100 kg boulder is transported at a velocity of VA=0.1 m/s before it slides down a chute with the geometry in the figure (h=1 m, d=[d] m). The boulder has a friction coefficient of 0.2 with the chute.
Include all handwritten solutions and free-body diagrams. Show all your workings; final results without working will not receive marks. Assume g=10 m/s².
A. Determine the velocity vector of the boulder in your defined coordinated system with and without friction just before it leaves the chute. Use the energy-work relation.
Transcribed Image Text:g h m, G U m, G In a mine, a 100 kg boulder is transported at a velocity of VA=0.1 m/s before it slides down a chute with the geometry in the figure (h=1 m, d=[d] m). The boulder has a friction coefficient of 0.2 with the chute. Include all handwritten solutions and free-body diagrams. Show all your workings; final results without working will not receive marks. Assume g=10 m/s². A. Determine the velocity vector of the boulder in your defined coordinated system with and without friction just before it leaves the chute. Use the energy-work relation.
B. Just before an impact with mine cars, the boulder leaves the delivery chute with an assumed particle velocity parallel to the chute of 1 m/s and lands in the m₁ = 300 kg car after flying [t] s.
Calculate using impulse-momentum relation the velocity vector of the boulder just before it lands in the car-neglect air resistance.
C. The m₁-400 kg and m₂-300 kg mine cars are rolling in opposite directions along the horizontal track with the respective speeds of v₁=[v1] m/s and v₂=[v2] m/s (see figure). Upon impact, the cars become
coupled together.
Calculate the velocity v of the system after the boulder has come to rest relative to the car.
D. Would the velocity be the same if the cars were coupled before the boulder dropped? Explain your answer with a calculation and compare it to C.
Transcribed Image Text:B. Just before an impact with mine cars, the boulder leaves the delivery chute with an assumed particle velocity parallel to the chute of 1 m/s and lands in the m₁ = 300 kg car after flying [t] s. Calculate using impulse-momentum relation the velocity vector of the boulder just before it lands in the car-neglect air resistance. C. The m₁-400 kg and m₂-300 kg mine cars are rolling in opposite directions along the horizontal track with the respective speeds of v₁=[v1] m/s and v₂=[v2] m/s (see figure). Upon impact, the cars become coupled together. Calculate the velocity v of the system after the boulder has come to rest relative to the car. D. Would the velocity be the same if the cars were coupled before the boulder dropped? Explain your answer with a calculation and compare it to C.
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