Net Force Equations in Horizontal & Net Torque Equations Problems Questions

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I want you to solve the questions attached. There are 7 questions in total. I already have the answers, but what I am looking for is the steps. [showing FBDs] Please use algebra. Thank you!

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4. Solve for the missing masses in each of the "see-saw style" levers shown. Assume levers have negligible mass: 

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4. Solve for the missing masses in each of the “see-saw style” levers shown. Assume levers have negligible mass: Lever (b): Lever (a): 3 m 1 m 1 m 2.m F, = 10.0N 5. Find the net torque on the wheel in the figure shown to the right about the axle through O if a = 10.0 cm and b= 25.0 cm. Solve with variables before plugging in any of the given values. -0.25m 30.00 Fj=120N F2= 9.00 N 7. Ta 15.0 kg 6. Two blocks shown in Figure P10.77 are connected by a string of negligible mass passing over a pulley of radius 0.250 m and moment of inertia I. The block on the frictionless incline is moving up with a constant acceleration of 2.00 m/s2. (a) Determine Tand T2, the tensions in the two parts of the string. (b) Find the moment of inertia of the pulley. (c) How many rotations does the pulley go through in 5 sec if the system started at rest? (d) If the pulley is a solid disk of mass 38.4 kg, what is its radius? (e) How would your solution to a & b change if the incline had a roughness Uk? Figure P10.77 29.0 kg 37.02 te 7. For the situation on the right, M>m, and the pulley is not frictionless and can be modeled like a solid disk of mass md, and radius R. Find... (if M= 500 grams, m = 200 grams, ma = 300 grams, R = 10 cm). the acceleration of the two hanging masses b. the angular acceleration of the disk the tension acting on each mass a. 求 C. 8. A uniform beam resting on two pivots has a length L = 7.00 m and mass M = 250.0 kg. The left support exerts a normal force Nu and the right support at a distance l = 4.00 m exerts a normal force NR. A woman of mass m= = 60 kg steps onto the left end of the beam and begins walking to the right. How far from the left end can the woman walk before the beam begins to tip? 9. Harambe's 2nd cousin Tawilamti is hanging on a tree branch as shown in the picture below: a) Draw a force-diagram for the tree branch. Choose and label your pivot point b) Write net-force equations in both the horizontal & vertical direction and a net-torque equation. c) Tawilamti is 125 kg. The tree branch is 300 kg and 3 meters long There is a vine attached to one end angled at 0 = 30°. Calculate the tension in the vine, and the horizontal & vertical components provided by A the tree trunk. -31- d) Solve for the initial angular acceleration of the branch if the vine were to break and Tawilamti hangs on. e) Repeat steps (a)-(d) for if the branch-was NOT at an-angle and the vine is-angled o above the horizontal: 10. A 15.0-m uniform ladder weighing 500 N rests against a frictionless wall. The ladder makes a 60.0° angle with the horizontal. (a) Find the horizontal and vertical forces from the ground on the base of the ladder when an 800-N firefighter has climbed 4.00 m up the ladder. (b) If the ladder is just on the verge of slipping when the firefighter is 9.00 m from the bottom, what is the coefficient of static friction between the ladder and the ground?
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Anonymous
This is great! Exactly what I wanted.

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