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1. Advanced Applications of Newton’s Laws

a. The Inclined Plane ,[object Object],[object Object],[object Object],[object Object]

b. String & Pulley Problems ,[object Object],[object Object],[object Object],[object Object]

Example 1 ,[object Object],[object Object]

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Physics 226 Fall 2013 Problem Set #1 NOTE: Show ALL work and ALL answers on a piece of separate loose leaf paper, not on this sheet. Due on Thursday, August 29th 1) Skid and Mitch are pushing on a sofa in opposite directions with forces of 530 N and 370 N respectively. The mass of the sofa is 48 kg. The sofa is initially at rest before it accelerates. There is no friction acting on the sofa. (a) Calculate the acceleration of the sofa. (b) What velocity does the sofa have after it moves 2.5 m? (c) How long does it take to travel 2.5 m? 2) You have three force vectors acting on a mass at the origin. Use the component method we covered in lecture to find the magnitude and direction of the re- sultant force acting on the mass. 3) You have three force vectors acting on a mass at the origin. Use the component method we covered in lecture to find the magnitude and direction of the re- sultant force acting on the mass. 4) A bowling ball rolls off of a table that is 1.5 m tall. The ball lands 2.5 m from the base of the table. At what speed did the ball leave the table? 5) Skid throws his guitar up into the air with a velocity of 45 m/s. Calculate the maximum height that the guitar reaches from the point at which Skid let’s go of the guitar. Use energy methods. 6) A beam of mass 12 kg and length 2 m is attached to a hinge on the left. A box of 80 N is hung from the beam 50 cm from the left end. You hold the beam horizontally with your obviously powerful index finger. With what force do you push up on the beam? 7) The tennis ball of mass 57 g which you have hung in your garage that lets you know where to stop your car so you don’t crush your garbage cans is entertaining you by swinging in a vertical circle of radius 75 cm. At the bottom of its swing it has a speed of 4 m/s. What is the tension in the string at this point? Mitch Sofa Skid y F2 = 90 N F1 = 40 N 35 8) Derivatives: a) Given:    Lx2Lx4y 22  , find dx dy . b) Given:          Lx2 Lx2lny , find dx dy . 9) Integrals: a) Given:    o o 45 45 d r cosk , evaluate. b) Given:    R 0 2322 dr xr kx , evaluate. ANSWERS: 1) a) 3.33 m/s2 b) 4.08 m/s c) 1.23 s 2) 48.0 N, 61.0º N of W 3) 27.4 N, 16.1º S of E 4) 4.5s m/s 5) 103.3 m 6) 78.8 N 7) 1.78N 8) a) 24x2 + 8xL – 4L b) 22 x4L L4  9) a) r k2  b)           22 xR x1k2 45 x F3 = 60 N y F2 = 65 N F1 = 45 N 60 50 x 70 F3 = 60 N Guitar Skid Physics 226 Fall 2013 Problem Set #2 1) A plastic rod has a charge of –2.0 C. How many electrons must be removed so that the charge on the rod becomes +3.0C? – + + + 2) Three identical metal spheres, A, B, and C initially have net charges as shown. The “q” .

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CHAPTER 18 PLANAR KINETICS OF A RIGID BODY: WORK AND ENERGY (Sections 18.1-18.4) Objectives: a) Define the various ways a force and couple do work. b) Apply the principle of work and energy to a rigid body. APPLICATIONS The work of the torque developed by the driving gears on the two motors on the mixer is transformed into the rotational kinetic energy of the mixing drum. The work done by the compactor's engine is transformed into the translational kinetic energy of the frame and the translational and rotational kinetic energy of its roller and wheels 2. Rotation: When a rigid body is rotating about a fixed axis passing through point O, the body has both translational and rotational kinetic energy: T = 0.5m(vG)2 + 0.5IGw2 Since vG = rGw, T = 0.5(IG + m(rG)2)w2 = 0.5IOw2

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test show

1. 1. Advanced Applications of Newton’s Laws

8. c. Uniform Circular Motion

9. d. Centripetal Force

10. e. Orbits

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