In this experiment, (S) is compressed to a spring (R) by a distance x-5cm, and then released for to-0. (S) rolls along the frictionless horizontal plane FG with a speed v, and then rolls up the inclined GH. We also consider gra wh the horizontal plane passing through FG as the reference of gravitational potential energy. Given: the spring constant of (R) =k=720 N/m. and a=30°. A. Find the numerical value of v. B. Find the mechanical energy of the system when (S) is at point G. C. (S) reaches appoint K, on the line of greatest slope GH, and turns back. Knowing that GK=50cm, calculate the mechanical energy K a-30 of the system when (S) is at K. D. Is the mechanical energy of the system conserved? Justify. E. Deduce the magnitude f of the force of friction, assumed to be constant along the inclined. F G

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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the gra
In this experiment, (S) is compressed to a spring (R) by a distance x-5cm, and then released for to=0. (S) rolls
along the frictionless horizontal plane FG with a speed v, and then rolls up the inclined GH. We also consider
the horizontal plane passing through FG as the reference of gravitational potential energy.
fx wh
Given: the spring constant of (R) =k=720 N/m. and a=30°.
A. Find the numerical value of v.
H
B. Find the mechanical energy of the system
when (S) is at point G.
C. (S) reaches appoint K, on the line of greatest
slope GH, and turns back. Knowing that
GK=50cm, calculate the mechanical energy
of the system when (S) is at K.
D. Is the mechanical energy of the system
conserved? Justify.
E. Deduce the magnitude fof the force of friction, assumed to be constant along the inclined.
a-30°
000000
F
Transcribed Image Text:the gra In this experiment, (S) is compressed to a spring (R) by a distance x-5cm, and then released for to=0. (S) rolls along the frictionless horizontal plane FG with a speed v, and then rolls up the inclined GH. We also consider the horizontal plane passing through FG as the reference of gravitational potential energy. fx wh Given: the spring constant of (R) =k=720 N/m. and a=30°. A. Find the numerical value of v. H B. Find the mechanical energy of the system when (S) is at point G. C. (S) reaches appoint K, on the line of greatest slope GH, and turns back. Knowing that GK=50cm, calculate the mechanical energy of the system when (S) is at K. D. Is the mechanical energy of the system conserved? Justify. E. Deduce the magnitude fof the force of friction, assumed to be constant along the inclined. a-30° 000000 F
ystem when (S) is at
D. Is the mechanical energy of
conserved? Justify.
E. Deduce the magnitude f of
Exercise 9:
In this experiment, we intend to study the motion of a simple pendulum. For that, we
fix a solid (S), considered as a point mass m=200g, to the extremity of a light
inextensible string of length l=50cm.
First Experiment:
Let 0 be the angle that the pendulum makes with the vertical. We measure 0 and the
speed of (S) at different times t, and we associate a location (A, B, C, D, E) for each
case. The results are summarized in the table below:
Exercise 10:
A solid (S) of mass m=10g mov
S) is left without initial velocit
alling body along a parabolic
h=60cm). Take reference of z
F
speed
P.E.
K.E.
М.Е.
Time
Location
to=Osec
84.26°
Om/s
The forces of friction affecting
2m/s
f of constant magnitude.
60 °
12
50 °
2.33m/s
A device permits to trace the
of the abscissa x.
t3
36.9 °
2.65m/s
t4
10°
2.97m/s
A. Specify the initial conditions in the experiment described above.
B. We consider the horizontal plane passing through FG to be the reference level of the gravitational
potential energy. Give the expression of the potential energy P.E. in terms of 0, m, l, and
C. Complete the above table.
D. Is the mechanical energy of the system conserved? Justify.
E. Using the previous part, deduce the speed Vo of (S) when it passes through the equilibrium positioli.
nolon Gro
g.
A. 1. Determine the
Fecond Experiment:
2. Determine, as
point M of absci
energy of the sy
AB C DE
Transcribed Image Text:ystem when (S) is at D. Is the mechanical energy of conserved? Justify. E. Deduce the magnitude f of Exercise 9: In this experiment, we intend to study the motion of a simple pendulum. For that, we fix a solid (S), considered as a point mass m=200g, to the extremity of a light inextensible string of length l=50cm. First Experiment: Let 0 be the angle that the pendulum makes with the vertical. We measure 0 and the speed of (S) at different times t, and we associate a location (A, B, C, D, E) for each case. The results are summarized in the table below: Exercise 10: A solid (S) of mass m=10g mov S) is left without initial velocit alling body along a parabolic h=60cm). Take reference of z F speed P.E. K.E. М.Е. Time Location to=Osec 84.26° Om/s The forces of friction affecting 2m/s f of constant magnitude. 60 ° 12 50 ° 2.33m/s A device permits to trace the of the abscissa x. t3 36.9 ° 2.65m/s t4 10° 2.97m/s A. Specify the initial conditions in the experiment described above. B. We consider the horizontal plane passing through FG to be the reference level of the gravitational potential energy. Give the expression of the potential energy P.E. in terms of 0, m, l, and C. Complete the above table. D. Is the mechanical energy of the system conserved? Justify. E. Using the previous part, deduce the speed Vo of (S) when it passes through the equilibrium positioli. nolon Gro g. A. 1. Determine the Fecond Experiment: 2. Determine, as point M of absci energy of the sy AB C DE
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