Course Hero x G Google X + X ago V 0 X Update : VA HW 9 - Rotation Dynamic - PHYS X + M Gmail YouTube : F... webassign.net/web/Student/Assignment-Responses/submit?dep=30247640&tags=aut... [ * Update About Store M Gmail YouTube Maps 5 https://ak.sbmu.ac.i... Types of diabetes |... Pre-Diabetes | Impa... > Thioredoxin glutath... Gmail Images S 15. [-/3 Points] DETAILS SERCP11 8.AE.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER EXAMPLE 8.13 Blocks and Pulley GOAL Solve a system requiring rotation concepts and the work-energy theorem. T mg Mog (a) (b) In both cases, vector T, and vector T2 exert torques on the pulley. PROBLEM Two blocks with masses m, = 5.00 kg and my = 7.00 kg are attached by a string as in Figure (a), over a pulley with mass M = 2.00 kg. The pulley, which turns on a frictionless axle, is a hollow cylinder with radius 0.0500 m over which the string moves without slipping. The horizontal surface has coefficient of kinetic friction 0.350. Find the speed of the system when the block of mass m2 has dropped 2.00 m. STRATEGY This problem can be solved with the extension of the work-energy theorem. If the block of mass my falls from height h to 0, then the block of mass m, moves the same distance, Ax = h. Apply the work-energy theorem, solve for v, and substitute. Kinetic friction is the sole nonconservative force. SOLUTION Advertising Bus Privacy Terms Settings 4 54.F Partly cloudy Search ENG 7:46 PM US 12/7/2022 20Homework Help - Q&A from Onl x G Google X + X a go 0 X Update : VA HW 9 - Rotation Dynamic - PHYS X + M Gmail YouTube webassign.net/web/Student/Assignment-Responses/submit?dep=30247640&tags=autosave#qu... [ * # s Update About Store M Gmail YouTube Maps 3 https://aksbmu.ac.i. Types of diabetes |... Pre-Diabetes | Impa... > Thioredoxin glutath... Gmail Images S LEARN MORE REMARKS In the expression for the speed v, the mass m, of the first block and the mass M of the pulley all appear in the denominator, reducing the speed, as they should. In the numerator, my is positive while the friction term is negative. Both assertions are reasonable because the force of gravity on m2 increases the speed of the system while the force of friction on m, slows it down. This problem can also be solved with Newton's second law together with t = la, a good exercise. QUESTION How would increasing the radius of the pulley affect the final answer? Assume the angles of the cables are unchanged and the gravity is the same as before. (Select all that apply.) O The magnitude of the work done against friction would remain the same. The magnitude of the work done against friction would decrease. O The final speed would remain the same. The final speed would decrease The magnitude of the work done against friction would increase. The magnitude of the work done by gravity would decrease. O The final speed would increase. The magnitude of the work done by gravity would remain the same. The magnitude of the work done by gravity would increase. PRACTICE IT Use the worked example above to help you solve this problem. Two blocks with masses m, = 5.49 kg and m2 = 7.04 kg are attached by a string as shown in Figure (a), over a pulley with mass M = 1.68 kg. The pulley, which turns on a frictionless axle, is a hollow cylinder with radius 0.0490 m over which the string moves without slipping. The horizontal surface has coefficient of kinetic friction 0.364. Find the speed of the system when the block of mass my has dropped 1.90 m. m/s EXERCISE HINTS: GETTING STARTED | I'M STUCK! Two blocks with masses m, = 1.80 kg and my = 9.70 kg are attached over a pulley with mass M = 2.90 kg hanging straight down as in Atwood's machine (see Figure (b)). The pulley is a solid cylinder with radius 0.0530 m, and there is some friction on the axle. The system is released from rest, and the string moves without slipping over the pulley. If the larger mass is traveling at a speed of 2.04 m/s when it has dropped 1.00 m, how much mechanical energy was lost due to friction in the pulley's axle? Advertising Bus W = Privacy Terms Settings 54.F Search ENG 7:46 PM Partly cloudy US 12/7/2022 20