A solid uniform 3.25-kg cylinder, 65.0 cm in diameter and 12.4 cm long, is connected to a 1.50-kg weight over two massless frictionless pulleys as shown in the figure below (Figure 1). The cylinder is free to rotate about an axle through its center perpendicular to its circular faces, and the system is released from rest. Figure 3.25 kg 1 of 1 1.50 kg Part A How far must the 1.50-kg weight fall before it reaches a speed of 2.40 m/s? Express your answer in meters. 15. ΑΣΦ d = Submit Part B Request Answer How fast is the cylinder turning at this instant? Express your answer in radians per second. Η ΑΣΦΑ Dr B ? ? m

Part A Determine the magnitude of the moment of the force F = {320i 200j + 160k}N about the x axis. (Figure 1) Express your answer to three significant figures and include the appropriate units. ? M = Value Units Figure < 1 of 1 Submit Request Answer Provide Feedback Ne: 0.3 m 0.4 m 0.2 m F

The three 170 g masses in (Figure 1) are connected by massless, rigid rods. Part A What is the triangle's moment of inertia about the axis through the center? Express your answer to two significant figures and include the appropriate units. ▸ View Available Hint(s) Figure 1 of 1 με I = Value Units Submit Part B ? What is the triangle's kinetic energy if it rotates about the axis at 4.4 rev/s ? Express your answer to two significant figures and include the appropriate units. ▸ View Available Hint(s) ם На Krot Value Units Submit 40 cm 60° Axis 40 cm 40 cm 60% Provide Feedback ?

A pulley on a frictionless axle has the shape of a uniform solid disk of mass 2.60 kg and radius 20.0 cm. A 1.90 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (Figure 1), and the system is released from rest. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of An unwinding cable ii. Part A How far must the stone fall so that the pulley has 5.00 J of kinetic energy? Express your answer with the appropriate units. HÅ h = .58 m 0 ?

Part A A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, as shown in the figure (see the figure (Figure 1)). The pulley is a uniform disk with mass 11.6 kg and radius 48.0 cm and turns on frictionless bearings. You measure that the stone travels a distance 12.4 m during a time interval of 3.50 s starting from rest. Find the mass of the stone. Take the free fall acceleration to be 9.80 m/s. ΑΣφ kg Submit Request Answer • Part B Find the tension in the wire. Take the free fall acceleration to be 9.80 m/s². 圈] ? Submit Request Answer Provide Feedback Figure 1 of 1 MacBook Air

R Rod Block Bullet Problem 7: The puck in the figure above on the left has a mass of 0.120 kg. The distance of the puck from the center of rotation is originally 0.4 m, and the puck is sliding with a speed of v; = 0.8 m/sec. The string is pulled downward through the hole in the frictionless table and the new distance of the puck from the center of rotation is 0.25 m. What is the new speed of the puck? Answer: vf = 1.28 m/sec Problem 8: In the figure above on the right a 0.001 kg bullet with initial speed vi = 1800 m/sec is fired into a 0.5 kg block attached to the end of a 0.60 m rod of mass 0.50 kg. Point A is the pivot point for the rod and the bullet stays inside the block after the collision. What is the angular speed w of the system after the collision? The moment of inertia of the rod about point A is I = Me and the moment of a particle is I = mr?. Treat the block as a particle and also treat the bullet as a particle. Answer: w = 4.5 rad/sec

A 430 g, 8.5-cm-diameter can is filled with uniform, dense food. It rolls across the floor at 1.5 m/s . Part A What is the can's kinetic energy? Express your answer with the appropriate units. μA Value Units

A merry-go-round is a common piece of playground equipment. A 3.0-m-diameter merry-go-round, which can be modeled as a disk with a mass of 280 kg, is spinning at 16 rpm. John runs tangent to the merry- go-round at 5.4 m/s, in the same direction that it is turning, and jumps onto the outer edge. John's mass is 30 kg. Part A What is the merry-go-round's frequency, in rpm, after John jumps on? Express your answer in revolutions per minute to two significant figures. VE ΑΣΦ w = 23 Submit Previous Answers Request Answer ? * Incorrect, Try Again; 5 attempts remaining rpm

A solid disk with an axis of rotation through the center (perpendicular to the diagram). Two holes are cut out near the center and the material is placed near the rim. Which has the larger I? Please explain your conclusion.