An oversized yo-yo is made from two identical solid disks each of mass M=2.00 kg and radius R=10.0 cm. The two disks are joined by a solid cylinder of radius r-4.00 cm and mass m=1.00 kg as in Figure P8.34. Take the cejter of the cylinder as the axis of the system, with positive torques directed to the left along this axis. All torques and angular variables are to be calculated around this axis. Light string is wrapped around the cylinder, and the system is then allowed to drop from rest. (a)What is the moment of inertia of the system?(b)What torque does gravity exert on the system with respect to the given axis?(c)Take downward as the negative coordinate direction. As depicted in Figure P8.34, is the torque exerted by the tension positive or negative? Is the angular acceleration positive or negative? What about the translational acceleration?(d)Write an equation for the angular acceleration in terms of the translational acceleration and radius.(e)Write Newton's second law for the system for rotation in terms of: m,M,a,T and g.
An oversized yo-yo is made from two identical solid disks each of mass M=2.00 kg and radius R=10.0 cm. The two disks are joined by a solid cylinder of radius r-4.00 cm and mass m=1.00 kg as in Figure P8.34. Take the cejter of the cylinder as the axis of the system, with positive torques directed to the left along this axis. All torques and angular variables are to be calculated around this axis. Light string is wrapped around the cylinder, and the system is then allowed to drop from rest. (a)What is the moment of inertia of the system?(b)What torque does gravity exert on the system with respect to the given axis?(c)Take downward as the negative coordinate direction. As depicted in Figure P8.34, is the torque exerted by the tension positive or negative? Is the angular acceleration positive or negative? What about the translational acceleration?(d)Write an equation for the angular acceleration in terms of the translational acceleration and radius.(e)Write Newton's second law for the system for rotation in terms of: m,M,a,T and g.
