Phy 201: General Physics I 1Chapter 9 Worksheet1. A solid disk with mass = 0.5 kg and radius = 0.1 m is initially at rest on a 20o incline and rolls down the incline without slipping. The initial height of the disk (H) is 1.0 ma) Draw the free body diagram for the disk.b) Apply Newton’s 2nd Law to the disk as it rolls down the incline. Orient your x- and y- coordinates parallel and perpendicular to the incline, respectively. Apply both force and torque relations.c) Use your results in b) to determine the magnitude of the acceleration of the disk down the incline.d) Use your results in c) to determine the magnitude of the static friction force (fs) acting on the disk.e) Determine the maximum angle of incline that the disk will still roll without slipping.20oH = 1.0 mPhy 201: General Physics I 2Chapter 9 WorksheetWhat About Mechanical Energy and Momentum???f) At the top of the incline, just before the disk begins to roll, what is the total mechanical energy of the disk?g) Determine the velocity of the disk at the bottom of the incline.h) Use your result in g) to determine the translational and rotational kinetic energy of the ball at the bottom of the incline.i) Determine the linear momentum (p) at the bottom of the incline.j) Determine the angular momentum (L) at the bottom of the incline.k) Using the Newton’s 2nd Law ( (net torqueLt, determine how long it takes the disk to roll down the incline.Phy 201: General Physics I 3Chapter 9 WorksheetMoment of Inertia2) Calculate the rotational inertia (in SI units) for the following objects:a) A 2 kg mass attached to a thin 0.15 m long string (a simple pendulum).b) A solid sphere with mass = 1.5 kg and diameter = 0.10 m.Torque:3) Two people are sitting on a teeter-totter.a) Person A (with a mass of 150 kg) sits 2.0 m from the fulcrum. What is the torque produced by Person A on the teeter-totter (assume the mass of the teeter-totter itself can be neglected)?b) For the teeter-totter to balance with Person B sitting on the opposing end, what torque must Person B apply to the teeter-totter? Draw a free body diagram of the 2-person teeter-totter system.c) If Person B has a mass of 100 kg, how far from the fulcrum must Person B sit so that the teeter-totter balances?Phy 201: General Physics I 4Chapter 9 WorksheetAngular Momentum & Rotation:4) Determine the angular momentum for the objects in Section 1, rotated about the axis described in Section 1.a) A mass attached to a string and rotated at a rotational speed of 25 rad/sec.b) A sphere rotated about its center at a rotational speed of 15 rad/sec.5) Determine the angular momentum of the Earth.a) If we assumed the Earth is a solid sphere, what is the angular momentum of the earth as it spins about its axis (use the Physical Data table in the back of the textbook to obtain values for them earth’s mass and radius)? Assume the period of rotation is 24 hours.b) What is the angular momentum of the earth as it orbits the Sun? Assume the orbit is circular and the period of orbit is 365 days.Phy 201: General Physics I 5Chapter 9 WorksheetConservation of Angular Momentum and Rotational Kinetic Energy:6) A figure skater with an initial moment of inertia of 40 kg.m2 spins at a rotational speed of 180 rpm. Assume there is no friction acting on the skater.a) What is the angular momentum of the skater (in SI units)?b) What is the rotational kinetic energy of the skater?c) If the skater decreases her rotational inertia to 25 kg.m2, what will be the skater’s new rotational speed?d) What is the skater’s final rotational kinetic energy?e) How much work is performed on the skater during the transition from I=40 to 25 kg.m2? Apply the Work-Energy Theorem for rotating bodies.f) If the decrease in moment of inertia occurs in 0.5 seconds, what is the angular acceleration ofthe skater during this interval?g) One Last Thing: Determine the average torque exerted on the skater during this