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As II is oft, determine the normal force exerted by the track on his skis at poi

ID: 1418082 • Letter: A

Question

As II is oft, determine the normal force exerted by the track on his skis at point A. Ans. 1790.77 N 45 30 4. (25) The disk with the circular groove rotates about the vertical axis with a constant angular velocity of 3 rad/s and carries the two 4-kg spheres. Determine the two forces of contact between the disk and each sphere. Ans. 31.66 N, 13.65 N. 250 mm 30 VEC Jseful equations dx dy dºx as E EV dt dt dt Uniform rectilinear motion: x = x + Vt Uniformly accelerated rectilinear motion: VOV, + at , X-, +vfa, R st 2a Imtial and transverse): v = te, +rbe,

Explanation / Answer

there are two normal forces N1 and N2 , one centrifugal force Fc = m *w^2 *r and mg force is applied.

balancing the force so,

in vertical directions

                               N1sin(60) + N2sin(60) =mg

                                N1 + N2 = 80 / [ 3 ^ (1/2) ]                    .........................(1) eq.

in horizontal directions

                                 N1cos(60) = N2cos(60) + m * w^2 * r

                                 N1/2 = N2/2 + 4*9*0.250

                               N1 = N2 + 18                .............................................................(2)eq.

from eq. 1 &2

                  N1 = 31.66 N

                  N2 = 13.65 N     ....................ANS.

                    

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