Problem 5. Here's another nice conceptual question, straight from a previous exam: F app m m E Three "pucks" are placed on a flat frictionless surface. The figure above shows the "bird's-eye" view of the situation. Each of the three pucks starts at rest. Each has the same given mass m but each has a different shape and size as shown. A strong piece of massless string is firmly tied between the round puck and the rectangular puck. The length of the string is given as £. You know that is larger than the distance between the rectangular puck and the round puck. But you do not know the exact positions of any of the three pucks. At time t = 0, a constant horizontal force Fapp is applied to the rectangular puck, specified by: Fapp = Fapp i Suppose Fem(t) represents the position of the center-of-mass of the three-puck system for any time t > 0. In terms of known quantities Fapp, , and m, calculate the velocity (t) and ac- celeration dem(t) of the center-of-mass as a function of time. Please write down these as vector expressions.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem 5. Here's another nice conceptual question, straight from a previous exam:
A
F
app
E
m
m
Pu
Three "pucks" are placed on a flat frictionless surface. The figure above shows the "bird's-eye"
view of the situation. Each of the three pucks starts at rest. Each has the same given mass m
but each has a different shape and size as shown. A strong piece of massless string is firmly tied
between the round puck and the rectangular puck. The length of the string is given as l. You know
that is larger than the distance between the rectangular puck and the round puck. But you do not
know the exact positions of any of the three pucks.
At time t = 0, a constant horizontal force Fapp is applied to the rectangular puck, specified by:
Fapp = Fapp i
Suppose Fem(t) represents the position of the center-of-mass of the three-puck system for any
time t > 0. In terms of known quantities Fapp, , and m, calculate the velocity Tem(t) and ac-
celeration dem(t) of the center-of-mass as a function of time. Please write down these as vector
expressions.
Transcribed Image Text:Problem 5. Here's another nice conceptual question, straight from a previous exam: A F app E m m Pu Three "pucks" are placed on a flat frictionless surface. The figure above shows the "bird's-eye" view of the situation. Each of the three pucks starts at rest. Each has the same given mass m but each has a different shape and size as shown. A strong piece of massless string is firmly tied between the round puck and the rectangular puck. The length of the string is given as l. You know that is larger than the distance between the rectangular puck and the round puck. But you do not know the exact positions of any of the three pucks. At time t = 0, a constant horizontal force Fapp is applied to the rectangular puck, specified by: Fapp = Fapp i Suppose Fem(t) represents the position of the center-of-mass of the three-puck system for any time t > 0. In terms of known quantities Fapp, , and m, calculate the velocity Tem(t) and ac- celeration dem(t) of the center-of-mass as a function of time. Please write down these as vector expressions.
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