HW6.pdf - Department of Civil and Environmental Engineering California State University Fullerton EGCE 302 Dynamics Homework 6 Due 10:00 a.m Q1 The 50

# HW6.pdf - Department of Civil and Environmental Engineering...

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Department of Civil and Environmental Engineering California State University, Fullerton EGCE 302: Dynamics Homework # 6 Due : 1 0 : 0 0 a .m. March 12 , 20 20 Q1.The 50lbcrate is given a speed of 10ft/sint= 4sstarting from rest. If the acceleration is constant,determine the power that must be supplied to the motor whent= 2s. The motor has an efficiencyη= 0.65. Neglect the mass of the pulley and cable.Q2.A 1.62ouncegolf ball is hit with a golf club and leaves it with a velocity of 100mi/h. We assumethat for 0tt0, wheret0is the duration of the impact, the magnitudeFof the force exerted on theball can be expressed asF=Fmsinπtt0.Knowing thatt0= 0.5ms, determine the maximum valueFmof the force exerted on the ball.Q3.The 10MgbargeBsupports a 2MgautomobileA. If someone drives the automobile to the otherside of the barge, determine how far the barge moves. Neglect the resistance of the water. 1
Q4.The two disksAandBhave a mass of 3kgand 5kg, respectively. If they collide with the initialvelocities shown, determine their velocities just after impact. The coefficient of restitution ise= 0.65.Q5.The elastic cord has an unstretched lengthl= 1.5ftand a stiffnessk= 12lb/ft. It is attached toa fixed point atAand a block atB, which has a weight of 2lb. If the block is released from rest fromthe position shown, determine its speed when it reaches pointCafter it slides along the smooth guide.After leaving the guide, it is launched onto the smooth horizontal plane. Determine if the cord becomesunstretched. Also, calculate the angular momentum of the block about pointA, at any instant after itpasses pointC. 2