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## Physics 2 Chapter 10 problems Prepared by Vince Zaccone For Campus Learning

Cardinal Stritch University, US has reference to this Academic Journal, Physics 2 Chapter 10 problems Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB 10.6 A machinist is using a wrench so that loosen a nut. The wrench is 25cm long, in addition to he exerts a 17-N force at the end of the handle. a) What torque does the machinist exert about the center of the nut? b) What is the maximum torque he could exert alongside this force? Use the definition of torque. The direction of the torque will be out of the page. Maximum torque will always occur when the radius in addition to force are perpendicular so that each other Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB 10.12 A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley. The pulley is a uniform disk alongside mass 10kg in addition to radius 50cm in addition to turns on frictionless bearings. You measure that the stone travels 12.6m in the first 3 seconds, starting from rest. Find a) the mass of the stone in addition to b) the tension in the wire. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB First we can use kinematics so that find the acceleration of the falling stone: Next use the torque on the pulley so that find the tension: Then we can use the forces on the stone so that find its mass: T T mg R M Positive = downward

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10.20 A string is wrapped several times around the rim of a small hoop alongside radius 8cm in addition to mass 0.18kg. The free end of the string is held in place in addition to the hoop is released from rest. After the hoop has descended 75cm, calculate a) the angular speed of the rotating hoop in addition to b) the speed of its center. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Use conservation of energy: Divide by the radius so that get the angular speed: 10.26 A bowling ball rolls without slipping up a ramp that slopes upward at an angle ? so that the horizontal. Treat the ball as a uniform, solid sphere, ignoring the finger holes. a) Draw the free-body diagram in consideration of the ball. Explain why friction is uphill. b) What is the acceleration of the center of mass of the ball? c) What minimum coefficient of static friction is needed so that prevent slipping? Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB 10.44 A solid wood door 1m wide in addition to 2m high is hinged along one side in addition to has a total mass of 40kg. Initially open in addition to at rest, the door is struck at its center by a handful of sticky mud alongside mass 5kg, traveling perpendicular so that the door at 12m/s just before impact. Find the final angular speed of the door. Does the mud make a significant contribution so that the moment of inertia?

10.62 A large 16kg roll of paper alongside radius R=18cm rests against the wall in addition to is held in place by a bracket attached so that the rod through the center of the roll. The rod turns without friction in the bracket, in addition to the moment of inertia of the paper in addition to rod about the axis is 0.26kg-m2. The other end of the bracket is attached by a frictionless hinge so that the wall such that the bracket makes in addition to angle of 30ΓΈ alongside the wall. The weight of the bracket is negligible. The coefficient of kinetic friction between the paper in addition to the wall is ?k=0.25. A constant vertical force F=40N is applied so that the paper, in addition to the paper unrolls. What is the magnitude of the force the rod exerts on the paper as it unrolls? What is the angular acceleration of the roll? Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB 10.75 A solid, uniform ball roll without slipping up a hill, as shown. At the top of the hill, it is moving horizontally, in addition to then it goes over the vertical cliff. How far from the foot of the cliff does the ball land, in addition to how fast is it moving just before it lands? Notice that when the ball lands, it has a larger translational speed than when it was at the bottom of the hill. Does this mean that the ball somehow gained energy? Explain! Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB First we need so that use conservation of energy so that find the linear speed of the ball when it reaches the top of the cliff, then we will use kinematics so that find the distance in addition to final speed. Use free-fall so that find the time it takes so that fall, then multiply so that get distance: We need the Pythagorean theorem so that get the final speed: Notice that this is larger than the initial speed! The ball is spinning more slowly, so more energy is available in consideration of linear motion.

Today?s Topics: 1. Set sizes Power set Cartesian product Union Intersection 2. Set builder notation Set builder notation Set builder notation Ways of defining a set Primes Russell?s paradox Russell?s paradox 3. Rapid-fire set-theory practice

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