How does the force exerted upward by the pulley change as the system begins accelerating? Why? Set up an experiment to determine how this force changes.

Suppose you're riding your bicycle in the mountains. You climb a mountain pass on a scenic roadway and prepare to descend the other side of the mountains. You have a choice of two roads you can use to descend. One road is two miles long, while the other is ten miles long. Assuming you apply the same, consistent braking force throughout the duration of your descent for either route, which descent route will allow you to reach the base of the pass with the highest speed? Two-mile (shorter) route Ten-mile (longer) route No difference

Calculate the work required to stretch the following springs 0.5 m from their equilibrium positions. Assume Hooke's law is obeyed. a. A spring that required a force of 50 N to be stretched 0.1 m from its equilibrium position. b. A spring that required 40 J of work to be stretched 0.4 m from its equilibrium position.

Two forces, F₁ = (1.80î – 0.80ĵ + 1.20k) N and F₂ = · (–0.95î +1.20ĵ) N are applied on a → moving object of mass 0.25 kg . The displacement vector produced by the two forces is → = (9.4Î +6.2ĵ +7.7k) d = m. Part A What is the work done by the two forces? Express your answer with the appropriate units. W = Submit 0 μA Value Request Answer Units ?

Part A The 2.2-Mg car increases its speed uniformly from rest to 17 m/s in 40 s up the inclined road. Determine the maximum power that must be supplied by the engine, which operates with an efficiency of e = 0.8. (Figure 1) Express your answer with the appropriate units. HA Pmax = 52.39 kW Submit Previous Answers Request Answer X Incorrect; Try Again Part B Also, find the average power supplied by the engine. Figure 1 of 1 Express your answer with the appropriate units. Pavg = |26.19 kW Submit Previous Answers Request Answer 10 X Incorrect; Try Again

11. Ignoring friction, the equation E x ED = R x RD is true for all three classes of levers. Use this equation to find the effort indicated by the diagram of the Class III lever shown below.

Figure 13 shows a simple model of a machine part, with an applied moment applied clockwise to the disc. The disc rotates without translation. Assume that the mass is on a frictionless surface and also that the disc rotates around the shaft with no friction effects. (a) Determine the kinetic and potential energy of the system. (b) Determine the equation of motion of the system using Lagrange’s equation.

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Consider the mass-on-a-spring system as shown in the figure below. The spring has a spring constant of 1.86e+3 N/m, and the block has a mass of 1.39 kg. There is a constant force of kinetic friction between the mass and the floor of 4.71 N. Starting with the spring compressed by 0.117 m from its equilibrium position, how far will the block travel once it leaves the spring? (Assume that block leaves the spring at the spring's equilibrium position, marked x=0 in the figure. Give your answer as the distance from the equilibrium position to the final position of the block.) Hint: How much work must friction do in order to bring the mass to a stop? How much distance is required for friction to do this work? Enter answer here www.m X = 0 Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8 Image size: S M L Max m