(Solved): 10. A whocl has a constant angular acceleration of \( 7.0 \) rad \( \mathrm{s}^{2} \). Stating from ...

10. A whocl has a constant angular acceleration of \( 7.0 \) rad \( \mathrm{s}^{2} \). Stating from rest, it turns throagh 400 rad. (a) What is its final angular velocity? Answer (b) How much tine clapses while it turns through the 400 radians? Answer 11. A man stands on a mery-go-roend that is rotating at \( 3.0 \mathrm{rad} \). If the coefficient of static friction between the man's shoes and the merry-go-round is \( \mu \mathrm{s}=0.6 \), how fat from the axis of rotation can he stand without shiding? Answar 12. Calculate the rotational kinctic energy of a 15 -kg motorcycle whel if its angular velocity is \( 150 \mathrm{rad} \) s and its inner radius is \( 0.280 \mathrm{~m} \) and outer nadius \( 0.330 \mathrm{~m} \). Anwwer 13. A woman on a bicycle accelerates from rest to a spect of \( 20.9 \) mis in \( 20.0 \times \) what is the angulir acceleration of the tires in degrees and radians? Answar Degrocs. Anwer Baulans 14. A 2.2.kg particle is travelling along the line \( y=3.3 \mathrm{~m} \) with a velocity \( 5.5 \mathrm{~m} / \mathrm{s} \). What is the angular momentum of the particle about the origin? Answer. 15. A cylinder with totatioeal incrtia \( f_{1}=2.2 \mathrm{~kg} \mathrm{~m}^{2} \) sotates clockwise about a vertical axis throegh its center with angular spect ta \( =5.5 \mathrm{rad} / \mathrm{s} \). A second cylender with rotational inertia fotates is \( =0.9 \mathrm{~kg} \cdot \mathrm{m}^{2} \) rotates conanterclockwise about the same axis with angular specd Q9 a 8.8 rad/s. If the cylinders couple so they have the same rotational axis what is the angular specd of the combination? Answi What percentage of the origial kinetic energy is lost to friction? Answ? 16. A bascball catcher cxtends has arm straight up to catch a fast ball with a specd of \( 50 \mathrm{~m} 3 \). The baseball is \( 0.150 \mathrm{~kg} \) and the cakchcr's arm lengeh is \( 0.5 \mathrm{~m} \) and mass \( 5.0 \mathrm{~kg} \). (a) What is the angular velocity of the arm imenctiately after catching the ball as measured froci the arm secket? Ans (b) What is the torque applicd if the catcher stogs the rotation of his arm \( 0.3 \) s after catching the ball?