Physics 1 Problem Solutions 75

Physics 1 Problem Solutions 75 - Chapt. 6 Newtons Laws and...

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Unformatted text preview: Chapt. 6 Newtons Laws and Dynamics II 71 coordinate is mR d 2 dt 2 = F net where is F net is the net force ALONG the path of the loop for any . (Note F net is the net force along the path in the rotating frame, and so contains real force and inertial force terms.) Write out F net explicitly in terms of m , g , , loop , and R (not r ). HINT: You will have take components of the gravity and centrifugal forces along the loop. Get the signs right. For mental clarity in determining the components, consider in the 1st quadrant (i.e., in the range (0 , 90 ). The expressions are for a general angle when you think about, but the 1st quadrant is isnt to comprehend. Draw a diagram with the geometry qualitatively correct. d) From the results of the part (c) answer solve for four angles where d 2 dt 2 = 0 : i.e., where the angular acceleration of the bead on the loop is zero. These are equilibria or equilibrium points: i.e., points where the net force along the loop is zero.equilibrium points: i....
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