accelerate on a level road from stop to 90 km/h in 12 s.10. Determine the work required to deflect a linear spring with a spring constant of 70 kN/m by20 cm from its rest position.RST LAW OF THERMODYNAMICS

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Answered: 10. Determine the work required to…

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 block with a mass of 2.0 kg is held against a spring with a spring constant 250 N/m. The block compresses the spring 22 cm from the equilibrium position. After the block is released, it travels along a frictionless surface and then up a ramp, μ= 0.25 The ramp’s inclination is 30° as shown below. a) Determine the elastic potential energy stored in the spring before the mass is released. b)Calculate the speed of the block as it travels along the horizontal surface. c) Determine how far along the ramp the block will travel before it stops?
A block of 50 kg is attached to a cable. The cable is then attached to a rotating assembly with a mass moment of inertia of 10 kg-m^2. The bearing friction applied at the rotating assembly is equivalent to a couple of 50 N-m CCW. The block's initial downward speed is 1 m/s. 0.5 m 50 kg 2. Which of the following is closest to the work done by the bearing friction after the rotating assembly has rotated 0.8 radians CW? 40.0 J -40.0 J -25.0 J 25.0 J the following is closest to the work done by the weight of the 50-kg block after assembly has rotated 0.8 radians CW? 4. Which of the following is closest to the total work done by the system after the rotating assembly has rotated 0.8 rad CW?
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An Achilles tendon at resting length was stretched until it had stored 44 J of energy. If the stiffness of the tendon was 250 kN/m, how much deformation was experienced by the tendon?
Model the problem in terms of a differential equation
3. A gas spring behaves like a piston-cylinder device. At a certain instant when the piston is at a distance of 0.2 m from the closed end of the cylinder, the gas density is uniform at 20 kg/m³ and the piston begins to move away from the closed end. Find the rate of change of gas density at this instant if gas velocity is proportional to distance from the closed end with a linear variation from zero at the end to 20 m/s of the piston. 0.2 m → 20 m/s Piston -
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There is a spring-mass system, driven by an external piston, which applies a force to it. Newtons that satisfies the following relation F = 6*cos (3*π*t), as can be seen in the figure, it is known that the spring constant has a value of k = 25 Nm, and the block has a mass of 4 kg, furthermore, dissipative frictional effects cause the relationship between velocity and force to satisfy the ratio F = bv, where b is the damping constant, and it is known that the numerical ratio of force is 10 times the value of speed. Determine: a) The natural frequency of the system. b) The driving frequency of the external force. c) The maximum value exerted by the external force. d) The damping constant. e) The amplitude of the forced oscillatory motion in steady state. f) If dissipative (damping) effects are neglected, what is the value of the amplitude.
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11. Ignoring friction, the equation E x ED = R x RD is true for all three classes of levers. Use this equation to find the effort indicated by the diagram of the Class III lever shown below.

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10. Determine the work required to deflect a linear spring with a spring constant of 70 kN/m by 20 cm from its rest position.