A particle is moving under the action of two forces: (1) a central force (withthe origin as the centre of force) and (2) a drag force Fdrag=-k(|x'|)x'(where k is a function k:R-R).(i) Which of the following differential equations are satisfied by the angularmomentum about the origin? Explain why.dtdtdtdtdtNote: the order of the answer choices may be different than in the PDF.(ii) Suppose that k(\x'l)=k is a constant. Solve for L using the initialcondition L=ex at t=0 and enter in the answer box, below, the excomponent of L.L·ex =Assuming that k()x'l)=k is a constant, which of the following statementsare true?O All of these statements are truex-0dtdx0Note: the order of the answer choices may be different than in the PDF.

Answered: A particle is moving under the action…

Similar questions

The 8-lb sphere and 6-lb block (shown in section) are secured to the arm of negligible mass which rotates in the vertical plane about a horizontal axis at O. The 4-lb plug is released from rest at A and falls into the recess in the block when the arm has reached the horizontal position. An instant before engagement, the arm has an angular velocity wo = 2.2 rad/s. Determine the angular velocity w (positive if counterclockwise, negative if clockwise) of the arm immediately after the plug has wedged itself in the block. 8 lb Answer: w= 12" i 100 20" 4 lb A 23" 6 lb rad/s
the slender bar of length l and mass m is pinned to verical shaft at O, the vertical shaft rotates with a cnstant angular velocity w0, please find the value of necessary for the bar to remain at a constant angular β relative to the verical
Two equal point masses m₁ = m2 = 0.69 kg are attached to the ends of a rod of a negligible mass and length of ().81 m. The rod is placed at rest on the y axis and is free to move in a horizontal and frictionless table, as seen in the figure. m1 m3 νο m2 x A third point mass m3, identical to the two other masses, moves with velocity vo collides head-on with completely inelastically collision with m2. = 1.62 m/s to the right so that at t = () it a. Find the center of mass (XCM, YCM) of the three bodies at t₁ = 1.2 s after the collision: Хом 0.64 = Усм -0.2 X b. What is the magnitude of the angular momentum of the system relative to the origin of coordinates? 0.90 X c. What is the magnitude of the angular momentum of the system relative to the center of mass? 0.60 X d. What is the angular velocity of the rod after the collision? 0.5 X e. What is the linear velocity of the body m₁ right after the collision (relative to the laboratory frame of reference)? 0
= 4.00 kg and m, = 3.00 kg, at its ends. The combination rotates in the xy-plane about a (a) A light, rigid rod of length e = 1.00 m joins two particles, with masses m, pivot through the center of the rod (see figure below). Determine the angular momentum of the system about the origin when the speed of each particle is 8.00 m/s. (Enter the magnitude to at least two decimal places in kg · m2/s.) magnitude kg : m2/s direction ---Select--- v (b) What If? What would be the new angular momentum of the system (in kg · m2/s) if each of the masses were instead a solid sphere 11.5 cm in diameter? (Round your answer to at least two decimal places.) kg : m2/s
could you explain why we choose dm=p(2pir)dr? circular disk or cyllinder has a volume so shouldn`t dm be p(2pir)dr * thickness ? ( i attached an expression). Why we choose a dm of a ring (without volume)?
Show that: If a particle is subject to a central force only, then its angular momentum is conserved i.e. If V(r) = V(r), then dL/dt = 0.
Determine the moment of the force about point O for the following.
A cylinder of mass M and radius 2R (careful!) is at rest ona rough table. A light string runs from the center of thecylinder in such a way as to allow the cylinder to bepulled horizontally. Said string runs over a disc of massm and radius R on a frictionless axle. The stringcontinues down over the disc and is connected to ahanging mass M.Once released from rest, the cylinder rolls withoutslipping on the table, and the string does not slip over the disc. What is the linear accelerationof the masses?HINT: You can NOT assume that Ffs = μfsFN here. The frictional force is just enough to preventslipping of the surfaces. You can NOT assume that the tensions are the same in each part of thestring
Find the total kinetic energy of a dumbbell of total mass m when it is rotating at an angular speed of w, and its center of mass is moving translationally with a speed of v. Denote the dumbell's moment of inertia about its center of mass as Icm. If you approximate the spheres as point mass of m/2 each located at a distance of r from the center, you can find an approximation for the center of mass (though it is not required for this problem). Figure 1. Dumbbell rotating and translating for problem 2.
Don't use chat gpt
Star Trillian-2009 was initially observed by astronomers to spin with a period of 25 days, and was computed to have a rotational inertia of 23.81 IARIU (International Astronomical Rotational Inertia Units). It then undergoes a change, and the new rotational inertia is calculated to be a third of the original value. What is the new rotational period of the star?
need help with this problem

SEE MORE QUESTIONS