Center of Percussion In the previous problem, suppose a small metal ball of mass m = 2 M is attached to the rod a distance d from the pivot. The rod and ball are released from rest in the horizontal position. (a) Show that when the rod reaches the vertical position, the speed of its tip is v t = 3 g L 1 + 4 ( d / L ) 1 + 6 ( d / L ) 2 (b) At what finite value of d / L is the speed of the rod the same as it is for d = 0? (This value of d / L is the center of percussion, or “sweet spot,” of the rod.)
Center of Percussion In the previous problem, suppose a small metal ball of mass m = 2 M is attached to the rod a distance d from the pivot. The rod and ball are released from rest in the horizontal position. (a) Show that when the rod reaches the vertical position, the speed of its tip is v t = 3 g L 1 + 4 ( d / L ) 1 + 6 ( d / L ) 2 (b) At what finite value of d / L is the speed of the rod the same as it is for d = 0? (This value of d / L is the center of percussion, or “sweet spot,” of the rod.)
Center of Percussion In the previous problem, suppose a small metal ball of mass m = 2M is attached to the rod a distance d from the pivot. The rod and ball are released from rest in the horizontal position. (a) Show that when the rod reaches the vertical position, the speed of its tip is
v
t
=
3
g
L
1
+
4
(
d
/
L
)
1
+
6
(
d
/
L
)
2
(b) At what finite value of d/L is the speed of the rod the same as it is for d = 0? (This value of d/L is the center of percussion, or “sweet spot,” of the rod.)
•
Nature of Resistance
Temperature-Resistance Relationship
Ohm's Law, Energy and Power
Kirchhoff's Law
•
•
Maxwell's Mesh Analysis
1. The steel of the third rail of a railway system has a resistivity of 21.4 μ-cm. If its cross-sectional area
is 8.2 in², calculate the resistance per mile of rail, neglecting the effect of joints between sections. (1
point)
2. An incandescent lamp has a tungsten filament whose resistance is 96 at its operating temperature
of 2900°C. Calculate the filament resistance when the lamp is disconnected from the electric source,
under which condition its temperature is 24°C. (Use do = 0.0045 02/°C for tungsten) (1 point)
3. For the circuit shown, find the following:
50 V
602
10 V
702
a. the value of resistor R. (1 point)
b. the equivalent resistance with respect to the 50-V
source. (1 point)
4. For the circuit shown, determine all the currents in each branch using Kirchhoff's Laws. (3 points)
A
5V 2
В
-ний
C
4
6 VT
ww
F
E
5. Use Maxwell's Mesh to find I, and VAB…
For items 8-9, refer to the problem below.
Find all the currents flowing in every resistor, power dissipation in
every resistor and the total power of the circuit shown at the right
using...
8. Kirchhoff's Laws (5 pts)
9. Maxwell's Mesh Analysis (5 pts)
A
8 V
10 V
B
+
20 Ω
3Ω
202
wwww
C
wwww
202
+
50
www
12 V
•
Nature of Resistance
Temperature-Resistance Relationship
Ohm's Law, Energy and Power
Kirchhoff's Law
• Maxwell's Mesh Analysis
1. A coil of copper wire (p = 10.37 2-cmil/ft) has a length of 600 ft. What is the length of an aluminum conductor
(p 17 cmil/ft), if its cross-sectional area and resistance are the same as those of the copper coil? (Hint: Look
for conversion of inches to mils and square inches to square foot. Include it in your solution.) (1 pt)
2. The copper field winding of an electric machine has a resistance of 46 at temperature of 22°C. What will be
its resistance at 75°C? (Use do = 0.00427 /°C for copper) (1 pt)
3. The resistivity of a copper rod 50 ft long and 0.25 inch in diameter is 1.76 μ at 20°C. What is its resistance at -
20°C? (1 pt)
4. When two resistors A and B are connected in series, the total resistance is 36 2. When connected in parallel, the
total resistance is 8 Q. What is the ratio of the resistance RA to resistance RB? Assume RA < RB. (1 pt)
5. The…
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