1. PHYSICS 50: Lecture 5.1 RICHARD CRAIG

2. Goals for Today Quiz Review Homework Example of understanding questions New topic: Friction Examples Car on a curved track

3. Homework #4 Read Chapter 5: Sections 1-4 Exercises and Problems: 5.5, 5.18, 5.34, 5.37, 5.52 Due Thursday, 2/21

4. What is a Force? A push or a pull It has both a magnitude and a direction (vector) It has units of N (Newton) = kgm/s 2

5. A car engine is suspended from a chain linked at O to two other chains. Which of the following forces should be included in the free-body diagram for the engine? A. tension T 1 B. tension T 2 C. tension T 3 D. two of the above E. all of T 1, T 2, and T 3 Q5.1

6. A cable attached to a car holds the car at rest on the frictionless ramp (angle  ). A. n = w B. n > w C. n < w D. not enough information given to decide Q5.2 The ramp exerts a normal force on the car. How does the magnitude n of the normal force compare to the weight w of the car?

7. Q5.3 When released, the cart accelerates up the ramp. Which of the following is a correct free-body diagram for the cart?0 A.B.C.D. m1am1am1am1a w1w1 w1w1 w1w1 w1w1 TTTT nnnn A cart (weight w 1 ) is attached by a lightweight cable to a bucket (weight w 2 ) as shown. The ramp is frictionless.

8. Q5.5 A B F A lightweight crate (A) and a heavy crate (B) are side-by-side on a frictionless horizontal surface. You are applying a horizontal force F to crate A. Which of the following forces should be included in a free-body diagram for crate B? A. the weight of crate B B. the force of crate B on crate A C. the force F that you exert D. the acceleration of crate B E. more than one of the above

9. Frictional forces, kinetic and Static Friction can keep an object from moving or slow its motion from what we last calculated on an ideal, frictionless surface. Microscopic imperfections cause non-ideal motion.

10. Coefficients of friction

11. Applied force and Frictional Force Notice the transition between static and kinetic friction.

12. Friction Examples Book on Table (easy) Pulling Sled (medium) Blocks on an Incline (hard)

13. A car (mass m) moves at a constant speed v around a flat, unbanked curve of radius R. A free-body diagram for the car should include A. an outward centrifugal force of magnitude mv 2 /R. B. an inward centripetal force of magnitude mv 2 /R. C. the force of the car’s acceleration. D. two of the above. E. none of the above. Q5.11

14. Q5.12 A car (mass m) moves at a constant speed v around a banked curve of radius R and bank angle  (measured from the horizontal). A free-body diagram for the car should include A. a normal force that points vertically upward. B. a normal force that points at an angle  from the vertical. C. a normal force that points at an angle  from the horizontal. D. an outward centrifugal force of magnitude mv 2 /R. E. more than one of the above.