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# Angular Momentum

### Specific Heat of Diatomic Gas Rotations.

Find the specific heat capacity, for the following: (a) An ideal diatomic gas undergoing rotation with no vibrations (b) An ideal diatomic gas undergoing rotation with radial vibrations. (see question for attachment with figures)

### Quantum Mechanics & Schrodinger Equation

Could some please give detailed solutions to the following past paper Question 3. Please highlight where standard formulas (showing the formulas in bold) are used and make all methods clear explaining what has been done and why. See the attached file.

### Quantum Number Determination

For principle quantum number n = 6 given for electrons in an atom, how many different values of the following quantities are possible? (*Do not list the identity of the states, just tell how many there are and show any supporting calculations.) a) l b) m (sub l): ml c) m (sub )s: ms d) all possible states for n=6

### Angular Speed after a Collision

Please show all work. A solid wood door, 90.0 cm wide by 2 m tall has a mass of 35kg. It is ajar and at rest. A ball with a mass of 500g is thrown perpendicular to the door with a speed of 20m/s and hits the door 60cm from the hinged side. The ball rebounds with a speed of 16 m/s along the same line. What is the angular spe

### Calculating common angular speed

Two wheels with rotational inertias of 1.0 kg m^2 and 1.5 kg m^2 are rotating on the same axis at 20 rads and 12 rads respectively, in opposite directions. If the wheels are suddenly coupled together, find the common angular speed of the wheels after being coupled.

### Totational Motion: Bullet Stricks a Hanging Rod

A thin uniform rod of mass 400 g and length 60.0 cm is suspended from a pivot and is free to rotate about it in any direction. A bullet strikes the rod at a distance of 46.0 cm from the pivot and gets stuck in it. The bullet was initially moving at a speed of 300 cm/s and was spinning about its forward-backward axis at 17.0 rad/

### Rotational motion: A stationary rod is struck at one end.

A uniform rod is resting along the x-axis on a frictionless table with its center of mass at the origin. It is suddenly struck near one end by a blow in the +y direction. The mass of the rod is M=175 g and the impulse applied by the blow is K=74 g m/s. Immediately after the rod is struck, (a) what is the velocity of the cente

### Problem on motion of a mass on a frictionless surface

A solid cube of side 2a and mass M is sliding on a frictionless surface with uniform velocity v as in figure (a) (in attached file). It hits a small obstacle at the end of the table, which causes the cube to tilt as in figure (b) (in attached file). Find the minimum value of v such that the cube falls off the table. Note that th

### Rotational Motion: Torque, angular acceleration, velocity

A 3.50 kg counterweight is attached to a light cord, which is wound around a spool . The spool is a uniform solid cylinder of radius 8.00 cm and mass 1.40 kg. (a) What is the net torque on the system about the point O? (b) When the counterweight has a speed v, the pulley has an angular speed w= v/R. Determine the total a

### Torque and angular momentum

A fireman clings to a vertical ladder and directs the nozzle of a hose horizontally toward a burning building. The rate of water flow is 6.37 kg/s, and the nozzle speed is 12.8 m/s. The hose passes vertically between the fireman's feet, which are 1.30 m below the nozzle. Choose the origin to be inside the hose between the firema

### Miscellaneous physics question

1. Competitive divers pull their limbs in a curl up their bodies when they do flips. Just before entering the water, they fully extend their limbs to enter straight down. Explain the effect of both actions on their angular velocity. What is the effect of these actions on their angular momentum? 2. What is the final velocity

### Rotating Bodies and Angular Momentum - Rolling Objects

I have answers for (a) and (b) but (c) is eluding me! Please shed some light on this supposedly simple problem concerning an object rolling down a slope! See attached file for full problem description.

### Rotating bodies and angular momentum : Rolling objects and moment of inertia

A sphere of radius mass M and moment of inertia I rolls down a slope that is inclined at an angle phi to the horizontal. The sphere starts from rest and rolls without slipping a distance L down the slope. Choose coordinates x and theta as shown. a) Write down a relationship between x and theta. Please see the attached fi

### Rotating bodies and angular momentum : Rolling objects and moment of inertia

A sphere of radius mass M and moment of inertia I rolls down a slope that is inclined at an angle phi to the horizontal. The sphere starts from rest and rolls without slipping a distance L down the slope. Choose coordinates x and theta as shown. a) Write down a relationship between x and theta. (Answer x =R*theta) b) Wri

### Tension, Force, Momentum, Velocity, Temperature, Energy

1. A 9kg hanging weight is connected to a string over a pulley to a 5kg block that is sliding on a flat table. If the coefficient of kinetic friction is 0.15, find the tension in the string. 2. A 50kg ice skater is moving at 5m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then mo

### Rotational Dynamics Simple Harmonic Motion

A woman stands at the center of a platform. The woman and the platform rotate with an angular speed of 1.30 rad/s. Friction is negligible. Her arms are outstretched, and she is holding a dumbbell in each hand. In this position the total moment of inertia of the rotating system (platform, woman, and dumbbells) is 6.66 kg·m2. By

### Quantum Mechanics: Direct sum space, total angular momentum

Please assist me with the attached quantum mechanics questions. Direct sum space, total angular momentum, eigenvectors, scalar operator,

### Calculating velocity and angular velocity

Please help with the following problem. Provide step by step calculations fo reach. A uniform cylinder (A) has a mass ( m = 3 kg ), radius ( r = 150 mm ), and can roll without sliding on a cart ( C ) of mass ( M = 5 kg ). Cylinder (A) is attached to a spring (AB) of stiffness (constant) k = 100 N/m as shown (attached). The s

### Fnd the rate of rotation of the collapsed star

A star rotates about its axis through a diameter once in 50 days. At the end of its life, the star collapses to one-hundreth of its original diameter. The rate of rotation of the collapsed star will be: a. 0.02 rotaions per day b. 20 rotaions per day c. 2 rotaions per day d. 200 roations per day

### Angular Velocity and Distance Problems

A 1.62 oz golf ball with a 1.70 in. diameter is hit by a club at point P. Velocity magnitude of the ball's center of mass is 180 ft/s after the impact. What is the angular velocity of the ball? (h = 0.2 in.) A 1 oz. bullet with a horizontal velocity of 350 ft/s strikes a circular disk. The bullet is embedded into the disk aft

### Rotation of a Diver

A diver can change her rate of rotation in the air by "tucking" her head in and bending her knees. Lets assume that when she is stretched out straight she is rotating at 1 revolution per second. Now she goes into the "bend and tuck", effectively shortening the length of her body in half. What will her roation be now? a. 5Hz

### Rotational Motion and Angular Momentum

Two lightweight rods L = 19.6cm in length are mounted perpendicular to a vertical axle and at 180 degrees to each other (see figure attached). At the end of each rod is a m = 640 g mass. The rods are spaced h = 39.6cm apart along the axle. The axle rotates at 28.0rad/s such that the angular velocity vector points upward (+). W

### Running on circular platform

Suppose a 60kg person stands at the edge of a 6.0m diameter circular platform, which is mounted on frictionless bearings and has a moment of inertia of 1800kgm^2. The platform and runner are initially at rest. Calculate the angular velocity of the platform if the runner begins to run 4.2m/s.

### Rotating a Professor on a Turntable

Hi I need you help for two questions. 1. A professor steps onto a stationary turntable while holding a rotating bicycle wheel that is rotating with an angular velocity of 15 rad/s pointing upward. The wheels axis of rotation goes through the axis of the turntable. The rotational inertia of the wheel is 1.5 kg m^2 and the co

### Mechanics: Dynamics (Translational and rotational motion).

1. Two equal weights of mass M each are connected by a cord passing over a frictionless pulley of mass mp and radius r. An additional weight of mass m is placed on one of the weights of mass M. Derive the expression for: a) system acceleration a; b) cord tensions. 2. A helicopter rotor blade can be considered a long thin

### Magnitude of Angular Momentum

1. A car of mass 1000 kg moves with a speed of 50 m/s on a circular track of radius 100 m. What is the magnitude of its angular momentum (in kg.m^2/s) relative to the center of the racetrack? 2. A Body oscillates with simple harmonic motion along the x-axis. Its displacement varies with time according to the equation x=5 sin

### Angular momentum and stationary distance after a collision

A thin uniform rod of length .6m and mass M is rotating horizontally at 79.0 rad/s counterclockwise about an axis through its center. A particle of mass M/3 and speed 38.5 m/s hits the rod and sticks. The particle's path is perpendicular to the rod at the instant of the hit, at a distance d from the rod's center. At what valu

### Angular momentum of a space station

A space station is constructed in the shape of a hollow ring of mass 5.00 x 10^4 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius of 100m. At rest when constructed, the ring is set rotating around its axis so that the people inside experience an effectiv

### Angular momentum of a rotating rigid object

A uniform solid sphere of radius 0.500 m and mass of 15.0kg turns counterclockwise about a vertical axis through its center. Find its vector angular momentum when its angular speed is 3.00 rad/s. I think I have worked this problem correctly. (See attachment) Please check my answer and confirm if in correct please point ou

### Basic Physics: Force and Friction

The 3.20kg, 38.0cm diameter disk in the figure is spinning at 350 rpm. How much friction force must the brake apply to the rim to bring the disk to a halt in 2.40 seconds? (Please see attachment for diagram.)