3. Prove that for a general rigid body motion about a fixed point, the time variation...
In general plane motion, if the rigid body is represented by a slab, the slab rotates about an axis lying in the plane. about an axis perpendicular to the plane. none of the above. about an axis parallel to the plane.
Problem 3 (1 point) Suppose that a body undergoes some motion. To track this motion, we mark three initial points and track where they are at some later point in time. If the initial marker points are given by the position vectors, 0 0 and at a later time point, the position vectors for these points are given by, does the body satisfy the conditions for rigid body motion? Explain why or why not.
Consider the motion of a rigid body with principal moments of inertia I < I<I,, in absence of external forces and torques (i.c., a free rigid body). Assume the body is a rectangular figure of width W, height H and length L (i.e., a book), with H<W<L, as shown in the figure. The angular velocity vector of the rigid body, in the body system, is (, . The conserved energy of the top is E, and the conserved angular momentum...
The rigid body shown in the figure is in pure rotation about fixed axis at O. The angular velocity is w = 5 rad /sec and an angular acceleration is a = 10 rad /sec? in the directions shown.Determine the velocity and acceleration point B. Oo 9" a 30° 00 (A n 3" B 3" -t
4) A rigid body rotates with constant angular velocity about a fixed axis. Show that its kinetic energy K and angular momentum L are related according to K = 5, where I is the rotational inertia.
2. A rigid rotor is constrained to move about a fixed axis, with respect to which its moment of inertia is I. The time-independent Schrödinger equation for this system is: 21 do where W is the energy, ф is the angular displacement of the rotor from a fixed direction (0 ps 2 ) , and 111(pf dф gives the probability of finding the rotor at an angular position between ф and ф+49 State the general solution of this equation and...
If a rigid body rotates about point o, the sum of the moments of the external forces acting on the body about point O equals which of the following? mag olca loa mao
Consider the simplest rigid body, consisting of two point objects each of mass m, connected by a massless stick of length 2f. Suppose that the motion of this baton is to spin about an axis we'll choose to call , i.e. w = w2. We choose our origin at the center of mass, which is stationary. The angle between the AB axis and i is B. 3. Suppose this external torque comes from two strings, applying forces -Tt at A...
A particle of mass m is attached to a fixed point in space by a massless rigid rode of length a and can freely rotate about this point. Find the quan- tum energy levels of the system. What is the degeneracy of each energy level (i.e. how many different quantum states have given energy)? Compare to the one of hydrogen atom