A 50 g sits on top of a 2 kg piston as shown. The bottom end of the spring is ocillated according to &= 6, sin 2t. At time t= the piston are both zero (xo =0m and vo =0 m/s). If k = 205 N/ m, 8 = 20 mm, and 2 =8rad/s. 0 the position and velocity of %3D a. Calculate and plot the force F that must be exerted on the lower end of the spring to produce the motion as function of time t (0st<10s). b. Calculate and plot the force F exerted on the coin by the piston as function of t (0SIS10s). c. Determine the maximum value of on for which the coin stays in contact with the piston; that is, for which F.>0 always. 05 kg 2 kg 8g sin Qr Group B: Leonard, Benjamin Leonard, Nicholas Pozos, Leslie Dunham, Jacob Dominguez, Jessica Stanikzai, Torialai Solve the differential equation: my"+ky = kd, sin Qt Find Natural Frequency. Also, solve the differential equation y = %3D
A 50 g sits on top of a 2 kg piston as shown. The bottom end of the spring is ocillated according to &= 6, sin 2t. At time t= the piston are both zero (xo =0m and vo =0 m/s). If k = 205 N/ m, 8 = 20 mm, and 2 =8rad/s. 0 the position and velocity of %3D a. Calculate and plot the force F that must be exerted on the lower end of the spring to produce the motion as function of time t (0st<10s). b. Calculate and plot the force F exerted on the coin by the piston as function of t (0SIS10s). c. Determine the maximum value of on for which the coin stays in contact with the piston; that is, for which F.>0 always. 05 kg 2 kg 8g sin Qr Group B: Leonard, Benjamin Leonard, Nicholas Pozos, Leslie Dunham, Jacob Dominguez, Jessica Stanikzai, Torialai Solve the differential equation: my"+ky = kd, sin Qt Find Natural Frequency. Also, solve the differential equation y = %3D
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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