A mass m is connected to the bottom of a vertical spring whose force constant is k . Attached to the bottom of the mass is a string that is connected to a second mass m , as shown in Figure 13-42 . Both masses are undergoing simple harmonic vertical motion of amplitude A. At the instant when the acceleration of the masses is a maximum in the upward direction the string breaks, allowing the lower mass to drop to the floor. Find the resulting amplitude of motion of the remaining mass. Figure 13-42 Problem 88
A mass m is connected to the bottom of a vertical spring whose force constant is k . Attached to the bottom of the mass is a string that is connected to a second mass m , as shown in Figure 13-42 . Both masses are undergoing simple harmonic vertical motion of amplitude A. At the instant when the acceleration of the masses is a maximum in the upward direction the string breaks, allowing the lower mass to drop to the floor. Find the resulting amplitude of motion of the remaining mass. Figure 13-42 Problem 88
A mass m is connected to the bottom of a vertical spring whose force constant is k. Attached to the bottom of the mass is a string that is connected to a second mass m, as shown in Figure 13-42. Both masses are undergoing simple harmonic vertical motion of amplitude A. At the instant when the acceleration of the masses is a maximum in the upward direction the string breaks, allowing the lower mass to drop to the floor. Find the resulting amplitude of motion of the remaining mass.
Figure 13-42 Problem 88
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
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…
2. Two equally strong individuals, wearing
exactly the same shoes decide to do a tug of
war. The only difference is individual A is
2.5 meters tall and individual B is 1.5 meter
tall. Who is more likely to win the tug of
war?
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