Review i Constants is suspended from a fixed point with a (Figure 1)A bob of mass massless string of length L (i.e., it is a pendulum). You are to investigate the motion in which the string moves in a cone with half-angle 0. Part A What tangential speed, must the bob have so that it moves in a horizontal circle with the string always making an angle 0 from the vertical? Express your answer in terms of some or all of the variables m, L, and 0, as well as the free-fall acceleration g. • View Available Hint(s) v = VgLsinetane Submit Previous Answers v Correct Part B How long does it take the bob to make one full revolution (one complete trip around the circle)? Express your answer in terms of some or all of the variables m, L, and 0, as well as the free-fall acceleration g. • View Available Hint(s) Figure < 1 of 1 VO AZ Submit Provide Feedback Next >

A particle of mass m = 4.56 kg is in uniform circular motion around a fixed point O, with a radius of orbit r = 3.63 m. The particle experiences a net force of magnitude F = Br towards the point O, where B= 2.75 Nm-¹. What is the period of the particle's orbit? Give your answer by entering a number, specified to an appropriate number of significant figures, in the empty box below. period of orbit = m x² I

Consider a disc of mass 0.44kg, with radius 0.5 m on a slope with angle 45 degrees to the horizontal. It has a good grip on the slope and does not slip. The disc is constructed so that its mass per unit area, ρ(r) = r1/2 kg m−2, with r being the radial distance in metres from the axis of the disc. What is the acceleration of the disc down the slope?

The initial velociies of particle one are -76 in the x-component and 151 in the y-component. The mass m1 is 10.7 kg. How do I find y-displacement.

I have asked this same question 4 times here. It is not 1.5, 1.51, 1.37. Please genuinely help me.

A certain quaternary star system consists of three stars, each of mass m, moving in the same circular orbit of radius r about a central star of mass M. The stars orbit in the same sense, and are positioned one-third of a revolution apart from each other. Show that the period of each of the three stars is given by the following expression. (Submit a file with a maximum size of 1 MB.) T = 2πt در G(M+ Choose File No file chosen m

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(a) What does the quadrupole formula (P) = = = (Qij Q³ ³) compute? Reason the answer. (b) A point mass m undergoes a harmonic motion along the z-axis with frequency w and amplitude L, x(t) = y(t) = 0, z(t) = L cos(wt). Show that the only non-vanishing component of the quadrupole moment tensor is = Im L² cos² (wt). (c) Use the quadrupole formula to compute the power radiated by the emission of gravitational waves. (Hint: recall that (cos(t)) = (sin(t)) = 0 and (cos² (t)) = (sin² (t)) = ½½ for a given frequency 2.)