The system below is held in static equilibrium. The total length of the cable is 20 meters. Determine the mass of the cylinder at D if the mass of the cylinder at B is 20 kg. Note that C and B are frictionless pulleys. 5 m D ? C Answer: D = 12.5 kg 9 m B 20 kg A

Determine the speed of the block with a mass of 0.60 kg after it has fallen 145 cm. The sphere is a shell with M = 4.5 kg and R = 8.5 cm. The pully has a rotational inertia of 0.0030 kg m2 and r = 5.0 cm. Use g = 9.8 m/s/s. Use conservation of energy.

A kitchen door is attached to a vertical support by a set of hinges. Assume the door is uniform and has height 2.40 m, width 0.865 m, and mass 21.0 kg. A. Determine its moment of inertia (in kg · m2) for rotation on its hinges. B. Are any pieces of data unnecessary? (Select all that apply.) The height of the door is unnecessary. The width of the door is unnecessary. The mass of the door is unnecessary. No; all of the data are necessary.

In part b) the moment which is in red color why doesn't equal -T( AP + Radius )  since they are perpendicular. Why did he use the components of T

A rope with a negligible mass has two blocks that are suspended over a pulley, m, and M, as shown in the image.  The pulley can be considered as a uniform solid cylindrical disk. Draw a free body diagram and explain if the tensions in the two strings equal? Why? Why not? To solve the problem, why can’t I use the system approach and write the equation for M and m at the same time? Please write the equations that will help solve for T1 and T2

A pulley is bolted to a wall as shown. The pulley is a flat disk of mass mp, radius R and moment of inertia I = mpR². A mass MH hangs from it by a rope that is wound about the pulley and does not slip. a. Give an appropriate force diagram for each of the two masses. b. Write ALL equations necessary to solve for the linear acceleration of MH. B мн

yo-yo with an inner cylinder of r = 3.5 cm and outer radius of R = 6.50cm is at rest on a theta = 30 degree incline. Itis held in place by friction and the tension in the string that is wrapped around its inner cylinder, as shown in the figure. Assume that the positive x-direction points down the incline. Determine the friction force if the mass of the yo-yo is 420g.

A bicycle racer is going downhill at 13.5 m/s when, to his horror, one of his 2.17 kg wheels comes off when he is 52.0 m above the foot of the hill. We can model the wheel as a thin-walled cylinder 85.0 cm in diameter and neglect the small mass of the spokes. Part A How fast is the wheel moving when it reaches the foot of the hill if it rolled without slipping all the way down? ΕΠΙ ΑΣΦ VAΣ+ ? V = 33 Submit Previous Answers Request Answer × Incorrect; Try Again Part B m/s How much total kinetic energy does the wheel have when it reaches the bottom of the hill? Kf = ΜΕ ΑΣΦ 2406 ? J

How do you solve problem? I'm confused about which equations to use and which variables go where. How should I think about what is going on? You have a pulley 14.6 cm in diameter and with a mass of 1.9 kg. You get to wondering whether the pulley is uniform. That is, is the mass evenly distributed, or is it concentrated toward the center or the rim? To find out, you hang the pulley on a hook, wrap a string around it several times, and suspend your 1.2 kg physics book 1.5 m above the floor. With your stopwatch, you can find that it takes 0.62 s for your book to hit the floor. Use g=9.8 m/s2. a) What is the moment of inertia if the pulley is uniform? b) What is the actual moment of inertia of the pulley based on your measurement? c) Is the pulley uniform (within 1% of uniform), is the mass of the pulley concentrated toward the center, or is the mass concentrated toward the rim?

Draw the free-body diagram showing all the forces (refer to the figure) A в E 6 ft 3 ft C 2 ft D1 ft 160 b 140 D 300 b Establish the 2nd condition of equilibrium (rotational equilibrium) using A. Point A as the pivot pt. B. Point B as the pivot pt.