Answer the following below. show your solution the answer is provided.

10. A large turntable rotates about a fixed vertical axis (Iturntable=1200 kg/m2) making 1 revolution in 6.0 s. A 40-kg student initially standing at the center of the turntable, runs out along a radius. What is the angular speed of the turntable when he is 2.0m from the center? Answers: 1. a) wo=0.48rad/s, b)w=0.24rad/s, c) a=-0.015rad/s2; 2. 0=11.7rad, at=0.768m/s2, arad=17.92m/s2; 3. ac=15.1m/s2, ac=15.1 m/$2 4. a) (i)I=0.469kg.m2, (ii)I=0.117kg.m2,(iii)I=0, b)(i)I=0.0433 kg.m2,(ii)I=0.0722 kg.m2, c) (1)I=0.0288 kg.m2, (ii)I=0.0144 kg.m2 5. 1 = (M+:m) L2; 6. 8.0 mN, k 7. at the end of the rod 8. 3.62m/s2; 4.83N; 0.313 9. a) 1.12m/s2 b)14N 10. 0.924 rad / s.5. A fan blade is initially rotating an angular speed of 4.6 rpm. It slows down and eventually comes to rest in a time of 32 seconds after turning through a total of 8.8 revolutions. Find a) the angular speed in radls, b) the average angular velocity and c) the average angular acceleration of the fan blade. Starting from rest at time t = 0. a grindstone has a constant angular acceleration of 3.2 radfsz. What is the angular displacement after 2.7 5? If the radius of the grindstone is 0.24 m, calculate the tangential and radial acceleration. A wheel of diameter 40.0 cm starts from rest and rotates with a constant angular acceleration of 3.00 radis2 . At the instant the wheel has completed its second revolution, compute the radial acceleration of a point on the rim in two ways: a) using the relationship 0.3.: = mzr and b) from the relationship om: vzfr. Calculate the moment of inertia of each of the following uniform objects about the axes indicated. A thin 2.50-kg rod of length 75.0 cm about an axis perpendicular to it and passmg a) (i) throughits one end (ii) through its center, and (iii) about an axis parallel to the rod and passing through it. b) A 3.00-kg sphere is (i) solid and (ii) A thin-walled hollow shell. c) An 8.00-kg cylinder of length 19.5 cm cylinder if the cylinder is (i) thin-walled and hollow and (ii) solid. A twirler's baton is madeof a slender metal cylinder of mass M and length L. Each and has a rubber cap of mass m. and you can accurately treat each cap as a particle in this problem. Find the total moment of inertia of the baton about the usual twirling axis (perpendicular to the baton through its center. Calculate the net torque about point 0 for the two forces applied as in gure shown. A thin rod of length L lies on the +x-axis with its left end at the origin. A sting pulls 0 on the rod with a force I? directed toward point P a distance h above the rod. Where along the rod should you attach the string to F2=4.ON get the greatest torque about the origin if point P is above the right end of the rod? F2=12.0N