Part (b) What is the angle, 0 in degrees, between one of the chains and the vertical where it contacts the chandelier? Part (c) Write an expression for FTy, the magnitude of the y-component of the tension in one chain, in terms of the given information and varial available in the palette. Part (d) Using your previous results, find the tension, FT in Newtons, in one chain. FT=

Force vectors F1 and F2 act on body P with the resultant force vector R. The resultant force R = 350 N and the angle between R and the x-axis is of 35O.  If F1 = 180 N and the angle between F1 and the x-axis is 72O, determine the magnitude of F2 and the angle between F2 and the x-axis.

9. Consider the falling object of mass 10 kg in Example 2, but assume now that the drag force is proportional to the square of the velocity. a. If the limiting velocity is 49 m/s (the same as in Example 2), show that the equation of motion can be written as 1 (49² - 1²). 245 dy dt Also see Problem 21 of Section 1.1. b. If y(0) = 0, find an expression for v(t) at any time. Gc. Plot your solution from part b and the solution (26) from Example 2 on the same axes. d. Based on your plots in part c, compare the effect of a quadratic drag force with that of a linear drag force. e. Find the distance x(t) that the object falls in time t. Nf. Find the time T it takes the object to fall 300 m.

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The center of a moon of mass m = 8 × 1023 kg is a distance D = 97 × 105 km from the center of a planet of mass M = 10.9 × 1025 kg. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero.   a. Derive an expression for x.  b.  Calculate x in kilometers, given the variables in the beginning of the problem.

Two identical balls of mass m are attached to the ends of a massless rod of length L. The rod is placed in a corner in its vertical position and we movethe lower ball in the horizontal direction with constant speed v. The rod moves in the vertical plane, the friction is negligible everywhere.a) Give the speed and acceleration of the upper ball as a function of the angle α between the rod and the horizontal.b) Give the normal force exerted by the wall as a function of α.c) At which angle α* will the upper ball lose the contact with the wall? Calculate α∗ if L = 1,0 m and v = 0,20 m/s

An object with a mass of m placed on an oblique surface at an angle. We applied a horizontal force f = mg on the particle as shown. Assume that the friction force between the object and the surface is so large that the object remains in place? Find the vertical force FN and the friction force ff ? In terms of the static friction coefficient, what is the range of the angle at which the object remains stagnant?

ment Chapter 05, Problem 007 There are two forces on the 1.82 kg box in the overhead view of the figure but only one is shown. For F, = 20.0 N, a = 13.5 m/s², and 0 = 21.5°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.) (a) Number i + jUnits (b) Number Units (c) Number Units Click if you would like to Show Work for this question: Open Show Work SUBMIT ANSWER SAVE FOR LATER Question Attempts: 0 of 10 used

78.0 kg on a string of Consider a conical pendulum with a bob of mass m = length L (Consider +î to be towards the center of the circular path and +ĵ to be 10.0 m that makes an angle of 0 = 7.00° with the vertical. %3D upward.) L m (a) Determine the horizontal and vertical components of the force exerted by the string on the pendulum. NÎ + (b) Determine the radial acceleration of the bob. m/s2

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