An object is made up of three masses connected by massless rods of fixed length. Mass A is located at (30.0 cm, 0 cm) and has a mass of 250 grams, mass B is located at (0 cm, 40.0 cm) and has a mass of 350 grams, mass C is located at (-20.0 cm, 0 cm) and has a mass of 450 grams. What is the moment of inertia of this object about
3. In lecture we found explicitly a matrix which would transform the components of a vector in three dimensional space from an initial frame of reference to a rotated frame specified by the pseudo-Euler angles. a)....b)....c).... Galilean Transformation. See attached file for full problem description.
Here is a list of Qualitative problems which need the physics explained for each, diagrams, and equations with text are welcome. 1) The vector potential and the magnetic field inside and outside of a diamagnetic sphere in a uniform magnetic field 2) The vector potential and the magnetic field inside and outside of a unif
1. A ball is thrown up in the air. It goes up and then eventually comes down again. On its way up (after being let go), which is correct? A. Its acceleration decreases B. Its acceleration increases C. Its accelerations stays pretty much the same D. Impossible to stay unless the ball,s mass is known E. Impossible to sta
In problem 16.98(a), if the disk and drum have a total weight of 15 lb, and P has a magnitude of 4 lb, the angular acceleration of the disk is: a. 16.4 rad/s^2 b. 12.4 rad/s^2 c. 23.2 rad/s^2 d. 8.3 rad/s^2
Calculate the inertia tensor of a homogeneous cube of mass M and density D and sides b. Let one corner be at the origin and the 3 sides lie along the coordinate axes. Please show all work including the matrix expansion in detail...I need to see how the tensor equation is used to generate a moment of inertia.
Was given formula IMA(1) = (r of rear sprocket/r of front sprocket) * (r of pedal/r of wheel) If Rear sprocket = r of 5.37cm; circum. of 33.75cm Front sprokcet = r of 5.57cm; circum of 35cm Radius of pedal = 9cm Radius of wheel = 33cm Calculated IMA(1) to be 0.28 was given formula IMA(2) = distance of pe
Consider a bead of mass m sliding without friction on a straight wire that passes through the origin and is inclined from the vertical by a constant angle alpha. The wire is being spun with constant angular velocity w about its vertical axis as shown in the figure. The bead is attached to the origin with a spring of force consta
Please help with the following problem. A stroboscope is a light that flashes on and off at a constant rate. It can be used to illuminate a rotating object, and if the flashing rate is adjusted properly, the object can be made to appear stationary. (a.) What is the shortest time between flashes of light that will make a thr
Temperature plays a role in determining the relevance of electronic, vibrational, and rotational spectral lines in room-temperature biomedical optics. The ratio between any two states' populations is an exponential function of ∆E, the difference in their energies, and kT, the Boltzmann energy, ratio is exp (-∆E=kT). Taki
Each of the space shuttle's main engines is fed liquid hydrogen by a high-pressure pump. Turbine blades inside the pump rotate at 617 rev/s. A point on one of the blades traces out a circle with a radius of 0.020 m as the blade rotates. What is the magnitude of the centripetal acceleration that the blade must sustain at this poi
Show ALL your work, including the equations used to solve the problems. A uniform cylinder of radius 10 cm and mass 20 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 5.0 cm form the central longitudinal axis of the cylinder. a) What is the rotational inertia of the cylinder about the axis
A) A 50-turn loop of wire has a cross-sectional area of 0.010 m^2. It is rotated about an axis perpendicular to the earth's field of 5.0 × 10^-5 T. What is the peak value of the emf generated if the loop rotates at 3600 rotations per minute? b) What would be the peak emf of the generating coil in the example above if it wer
A ball is tossed straight up with a spinning motion. The ball spins at 31 rad/s and makes 7.2 revolutions before it returns to its starting level. How high did the ball go? I believe the answer is 2.6 meters.
I had some questions about mirrors, please provide supporting equations and information for these problems. - Does the mirror equation (p^-1 + d^-1 = 2R^-1 = f^1) apply to a plane mirror? What relationship between p and d does it imply? - Why is it when you stand in front of a mirror your left appears on your right and your
What is the magnitude and direction of the centripetal acceleration due to the earth's rotation at a location near Kansas City at 38 degrees latitude? I believe the answer is 2.66x10^-2 m/s^2, towards the earth's rotation axis. I need to see all formulas involved.
A particle moves according to the equation x = 10t2, where x is in meters and t is in seconds. Find the average velocity for the time interval from 2.0 second to 3.0 second. 50 m/s 100 m/s 250 m/s 200 m/s A particle undergoes three consecutive displacements: d1 = (10i + 30j + 12k), d2 = (23
(See attached file for full problem description with diagrams and values) --- 1. In the figure a uniform beam of length is hanging from a point a distance to the right of its center. The beam weighs and makes an angle of with the vertical. At the right-hand end of the beam a concrete block weighing is hung; an unkno
A stiff wire bent into a semicircle of radius a=2.0 cm is rotated at constant angular speed 40 rev/s in a uniform 20 mT magnetic field. What are the (a) frequency and (b) amplitude of the emf induced in the loop?
To solve many problems about rotational motion, it is important to know the moment of inertia of each object involved. Calculating the moments of inertia of various objects, even highly symmetrical ones, may be a lengthy and tedious process. While it is important to be able to calculate moments of inertia from the definition, in
In this problem, you will answer several questions that will help you better understand the moment of inertia, its properties, and its applicability. --------- Diagram ------------------------ 1. On which of the following does the moment of inertia of an object depend? A. linear speed B. linear acceleration C.
Please review the attached conceptual physics questions. Instead of just the answers, I would also like full explanations. This is so I can learn the material. Please make sure you are accurate and clear. Thanks. Please See attached word document
You are to design a rotating cylindrical axle to lift 800-N buckets of cement from the ground to a rooftop 78.0 m above the ground. The buckets will be attached to a hook on the free end of a cable that wraps around the rim of the axle; as the axle turns, the buckets will rise. 1. What should the diameter of the axle be in or
The rotation matrix [R], associated with a positive (in a right-hand sense) rotation α ; about the z-axis is: cosα sinα 0 -sinα cosα 0 0 0 1 ? Derive the rotation Matrix [Q] relating (x, y, z) to a system (x', y', z') which is described by three consecutive Euler rotations about z, then y
The radar antenna on a navy ship rotates with an angular speed of 0.22 rad/s. What is the angular speed of the antenna as measured by an observer moving away from the antenna wth a speed of 0.62c?
(See attached file for full problem description with diagram and symbols) --- 1) Find the fractional number of molecules of a gas having speeds between vm and 1.05vm where vm = Sq.root(2kT/m) and is denoted as the most probable speed. [vm denotes v subscript m] 2) At what radial "distance" v from the origin of velocity
A solid sphere is rolling without slipping on a vertical circular ramp with radius R. The sphere has radius r and mass m with a moment of inertia I = (2/5)m r^2. Find the period of a small amplitude oscillation. (See attached file for full problem description with diagram and equations)
A 20-meter-long spaceship is drifting in space, and is in the orientation shown below left, initially not spinning at all. The pilot needs to get the spaceship turned around 180 degrees, with the positions of the nose and tail switched around, as shown below right. To accomplish this, he fires a pair of small identical rocket
A star rotates about its axis through a diameter once in 50 days. At the end of its life the star collapses to one hundredth of its orginal diameter. What will the rate of rotation of the collapsed star be?
Problems 4.19 & 4.21 from 'Introduction to Elementary Particles' by David Griffiths. See attached file for full problem description.