Careful measurements made during the impact of the 145-g metal cylinder with the spring-loaded plate reveal asemielliptical relation between the contact force Fand the time t of impact as shown. Determine the reboundvelocity v of the cylinder if it strikes the plate with a velocity of 5.3 m/s.5.3 m/s145 gU210.07Time t, sAnswer: vm/sForce F. N

Write the expression for the area under the semi ellipse curve.

Answered: Careful measurements made during the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A bullet B of mass mBtraveling with a speed v0= 1200 m/s ricochets off a fixed steel plate A of mass mA.Let mAmBso that it can be assumed that mB/mA→0. If the incidence angle of the bullet isθ= 15◦and the CORof the impact ise= 0.5, determine the rebound angleφ, as well as the bullet’s rebound speed.Use conservation lawmethods to solve the problem.
the vertical ground reaction force from a force plate during the contact phase for a 55 kg runner. If the initial vertical velocity of the runner when she first makes contact with the plate is directed 0.40 m/s downwards, determine the following:a) the vertical velocity (including direction andmagnitude) just as the runner comes off the plate at the end of ground contact. (Average net force includes the effect of gravity and thevertical ground reaction force acting on therunner) b) the average vertical ground reaction forceduring the ground contact phase of the run
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The mass m = 5.0 kg resting on a frictionless horizontal table is connected to a horizontal spring with stiffness constant k = 170 N/m. The mass is pulled a distance to the right so that the spring is stretched a distance x0 = 1.3 mm initially, and then the mass is released from rest. e)? g)?
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A prop shaft of a heavy-duty truck has two bearings which are positioned at 3 metres from each other. The shaft must rotate at 30 rad/s when the truck travels at the speed of 40 m/s. Such a shaft carries two masses of (MA = 10 kg) and (MB = 5 kg) acting at the extremities of the arms 0.45 m and 0.6 m long, respectively. The planes in which these masses rotate are 1.2 m and 2.4 m respectively, from the left end bearing supporting the shaft. The angle between the arms is 60°. If the masses are balanced by two counter-masses (named X and Y) rotating with the shaft acting at a radius of 0.3 m and placed at 0.3 m from each bearing centre:
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