A thin 0.100-kg rod that is 350mm long has a small hole drilled through it 87.5mm from one end. A metal wire is strung through the hole, and the rod is free to rotate about the wire.

Part A

Determine the rod's rotational inertia I about this axis.

Express your answer with the appropriate units.

I = ?

Part B

Determine the period of the rod's oscillation.

Express your answer to two significant digits and include the appropriate units.

T = ?

whats the advantage of the extended media surface area in pleated filters?..a filter can be flipped over when one side is dirty...b. can be folded..c. creates cyclonic filtration action between the pleats..d. provides much greater dust-holding ability

At rest, a car's horn sounds the note A (440 Hz). The horn is sounded while the car is moving down the street. A bicyclist moving in the same direction with one-third the car's speed hears a frequency of 403 Hz.

(a) Is the cyclist ahead of or behind the car?

ahead/behind    

(b) What is the speed of the car?
(Answer in m/s)

The mattress of a water bed has a length of 2.00 m, a width of 2.00 m and a depth of 30.0 cm. Find the weight of the water on the mattress and find the pressure exerted by the water on the floor when the bed is in its normal position. Assume that the entire lower part of the bed makes contact with the floor.

1.If the bed were replaced by another that has a weight of 300 lbs and is supported by the four legs that have a diameter of 2.00 cm. What pressure does the bed exert on the surface?

a.5.00 x 105 Pa
b.4.5 x 105 Pa
c.6.0 x 104 Pa
d.2.7 x 105 Pa

2.The fluid presented in the exercise is a fluid:

a.Turbulent
b.Laminate
c.Incompressible
d.Viscous

A person's lower leg is 1 meter long and has a mass of 9.5kg. It is allowed to swing freely. If the leg is treated as a simple pendulum with a length equal to the length of the leg, using T = 2pi square root of L/g root of 2/3

Then, estimate the typical human walking speed based on your result, making clear any assumptions/estimates you make.

a knight is trying to scale the castle wall using a ladder the mass of the knight is 73.1 kg the ladder is 2.50m long and has a mass of 8.50 kg the wall is frictionless but the coefficient of static friction between ladder and the ground is 0.250 the ladder makes an angle of 53.1 degrees with the horizontal when placed against the castle wall how far up the ladder can the knight wall before the ladder slips what is the magnitude of the force of the wall on the ladder what is the magnitude of the force of the ground on the ladder

consider Three-Dimensional harmonic oscillator with the same frequencies along all three directions. a) determine the wave function and the energy of the ground state. b) how many quantum numbers are needed to describe the state of oscillation? c) the degeneracy of the first excited state. express the wave function involved in the schrodinger equation as a product given by x, y, z and separate the variables.

write down the semi classical distribution function for phonons based on boltzmann distribution

TABLE 2. ROTATION DATA FOR THE ANDROMEDA GALAXY

Fill in blanks please

einstein model take that in solid state, there are 3N normal mode vibration that all have the same mode frequency of ω0. the density of states σ(ω) for this model is

σ(ω) = δ(ω − ω0) .

a. with the given information, and by neglecting the zero point energy, calculate the total energy and the heat capacity Cv in this solid state model.

b. when the temperture is high, show that Cv → 3N kB. this value is often called Dulong-Petit value.

At starbase Faraway Point, you observe two spacecraft approaching from the same direction. The Picard approaches starbase Faraway Point with a speed of 0.806 c, and the La Forge approaches the starbase with a speed of 0.918 c. Suppose the Picard now launches a probe toward the starbase.

What velocity must the probe have relative to the Picard if it is to be at rest relative to the La Forge?

What velocity must the probe have relative to the Picard if its velocity relative to the La Forge is to be 0.100c?

For the situation described in part B, what is the velocity of the probe relative to the Faraway Point starbase?

Faraway Point starbase launches a probe toward the approaching starships. The probe has a velocity relative to the Picard of -0.918 c. The Picard approaches starbase Faraway Point with a speed of 0.806 c, and the La Forge approaches the starbase with a speed of 0.918 c. What is the velocity of the probe relative to the La Forge?

What is the velocity of the probe relative to Faraway Point starbase?

A 500 lines per mm diffraction grating is illuminated by light of wavelength 620 nm .

Part B

What is the angle of each diffraction order?

Enter your answers using two significant figures in ascending order separated by commas.