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
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.50P: The block of weight W is pulled by the force P inclined at the angle to the horizontal. Find the...
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![A 50 g sits on top of a 2 kg piston as shown. The bottom end of the spring is
oscillated according to 8 = 6, sin Qt. At time t= 0 the position and velocity of
the piston are both zero (xo = 0m and vo =0 m/s). If
k = 205 N/ m , 8, = 20 mm, and 2 = 8 rad/s.
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 (0<t<10s).
b. Calculate and plot the force F exerted on the coin by the piston as function of t
(0<1S10s).
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
8g sin Qr
Group B:
Leonard, Benjamin
Leonard, Nicholas
Pozos, Leslie
Dunham, Jacob
Dominguez, Jesslca
Stanikzai, Torialai
Solve the differential equation: my"+ky=ko, sin t
Find Natural Frequency. Also, solve the differential equation y =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e4fcbe0-ed74-4447-b38a-a2af13f9fabc%2F6f993bdb-37a5-41f7-a734-d2d63a818283%2F3kzzy4f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A 50 g sits on top of a 2 kg piston as shown. The bottom end of the spring is
oscillated according to 8 = 6, sin Qt. At time t= 0 the position and velocity of
the piston are both zero (xo = 0m and vo =0 m/s). If
k = 205 N/ m , 8, = 20 mm, and 2 = 8 rad/s.
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 (0<t<10s).
b. Calculate and plot the force F exerted on the coin by the piston as function of t
(0<1S10s).
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
8g sin Qr
Group B:
Leonard, Benjamin
Leonard, Nicholas
Pozos, Leslie
Dunham, Jacob
Dominguez, Jesslca
Stanikzai, Torialai
Solve the differential equation: my"+ky=ko, sin t
Find Natural Frequency. Also, solve the differential equation y =
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