EXAM PAPER #6 MECHANICS II 1. Theory. Plane motion of a rigid body, Equations, resolution of...
2. In classical mechanics, we learned that particles undergoing some sort of orbital or circular motion have angular momentum. For ordinary momemtum, we learned that the conservation of momentum occurs because a system is translation invariant. It is possible to show (we won't do it here in complete generality) that a classical mechanics system has conserved angular momentum if it is rotation invariant. In classical mechanics angular momentum L is given by In this problem we're going to work out...
Multivariable Calculus help with the magnitude of angular momentum: My questions is exercise 4 but I have attached exercise 1 and other notes that I was provided 4 Exercise 4. In any mechanics problem where the mass m is constant, the position vector F sweeps out equal areas in equal times the magnitude of the angular momentum ILI is conserved (Note: be sure to prove "if and only if") (Note: don't try to use Exercise 2 in the proof of...
Problem 2 (10 pt.) A homogeneous sphere of mass m and radius b is rolling on an inclined plane with inclination angle ? in the gravitational field g. Follow the steps below to find the velocity V of the center of mass of the sphere as a function of time if the sphere is initially at rest. Bold font represents vectors. There exists a reaction force R at the point of contact between the sphere and the plane. The equations...
the list of equations to list are attached! thanks! 6. A playground merry-go-round, i.e., a horizontal disc of radius 3 m that can rotate about a vertical axis through its center, is rotating at an angular speed 1/s (measured, as usual, in terms of radians). The moment of inertia of the merry-go-round with respect to that axis is 3000 kg m? A student of mass 80 kg is standing at the center of the merry-go-round. The student now walks outward...
Work out the highlighted questions (3-6) clearly and with units, please. Thanks! 4/5 a the minimum kinetic energy at the apping point? (C) Use conservation of energy to determine the minimum angular velocity of the block just after the collision, (d) then use conservation of angular momentum during the collision to find the initial speed of the bullet vo. (Hint: Ignore the mass of the bullet after the collision. The moment of inertia of the cube about its bottom-right edge...
. AT&T. 2:59 PM @ 57% ☺ ☺ ☺ Q a 364 Chapter 9 Mechanics in Noninertial Frames SECTION Free Fall and the Coriolis Force 9.25. A high speed train is traveling at a cost 150 m access the South Pole and the bea about 300 p d s iho l ed from the limite e way de 9.26 la Section 8 wewed a head of time to find the on that is dropped forest.com sofinst onder in the car's...
8.4 The Two-Dimensional Central-Force Problem The 2D harmonic oscillator is a 2D central force problem (as discussed in TZD Many physical systems involve a particle that moves under the influence of a central force; that is, a force that always points exactly toward, or away from, a force center O. In classical mechanics a famous example of a central force is the force of the sun on a planet. In atomic physics the most obvious example is the hydrogen atom,...
Please answer all parts of the questions and please try making them clear and easy to understand. CONCEPTUAL QUESTIONS: (Total Points 10, 1 points each question) 1- A plate is supported by a bal-and-socket joint at A, a roller joint at B, and a cable at C. How many unknown support reactions are there in this problem? 300 N 400 N i m A) Four forces and two moments B) Six forces C) Five forces D) Four forces and one...