Problem 1: Gnome Ride - This from a Previous Exam y A Gnome of given mass M goes on the Gnome Ride as follows: He stands on a horizontal platform that is connected to a large piston so that the platform is driven vertically with a position as a function of time according to the following equation: v(t) = C cos(ust) Here w is a constant given angular frequency, C' is a given constant (with appropriate physical units) and y represents the vertical position, positive upward as indicated. Part (a) - What is the velocity of the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Part (b) – What is the net force on the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Part (c) - What is the Normal Force on the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters

Problem 1: Gnome Ride - This from a Previous Exam y A Gnome of given mass M goes on the Gnome Ride as follows: He stands on a horizontal platform that is connected to a large piston so that the platform is driven vertically with a position as a function of time according to the following equation: v(t) = C cos(ust) Here w is a constant given angular frequency, C' is a given constant (with appropriate physical units) and y represents the vertical position, positive upward as indicated. Part (a) - What is the velocity of the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Part (b) – What is the net force on the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Part (c) - What is the Normal Force on the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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Conservation of Energy

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Physics 121 Spring 2021 - Document #11: Homework #04 & Reading Assignment page 4 of 8
Problem 1: Gnome Ride - This from a Previous Exam
I.
A Gnome of given mass M goes on the Gnome Ride as follows: He stands on a horizontal
platform that is connected to a large piston so that the platform is driven vertically with a position
as a function of time according to the following equation:
y(t) = C cos(wt)
Here w is a constant given angular frequency, C is a given constant (with appropriate physical
units) and y represents the vertical position, positive upward as indicated.
Part (a) - What is the velocity of the Gnome at time t = 0? Explain your work. Present your
answer in terms of the given parameters
Part (b) – What is the net force on the Gnome at time t = 0? Explain your work. Present your
answer in terms of the given parameters
Part (c) – What is the Normal Force on the Gnome at time t = 0? Explain your work. Present
your answer in terms of the given parameters
Some Possibly Useful Calculus Equations: Here b is a constant:
d
– sin(br) = b cos(br)
dr
P.
cos(br) = -bsin(br)
cos (br)
+ C
sin(br)
+C

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