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Homework and Announcements for Chapter 6: Forces and Circular Motion Problems

Important announcements and homework guidelines for Chapter 6 regarding forces, particularly normal force and tension, are provided. Students should complete Problems 6 and 7 for tomorrow's submission. Key topics include the magnitude of centripetal acceleration in circular motion and how to apply Newton’s 2nd Law in multiple dimensions. Additionally, please attend office hours for assistance. Tutorial Learning Center hours and specific quiz questions related to forces and tension are also outlined for review.

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Homework and Announcements for Chapter 6: Forces and Circular Motion Problems

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  1. Announcements • Homework for tomorrow… (Ch. 6, Probs. 6 & 7) 5.42: 60° • Office hours… M 3-4 pm TWR 9-10 am F 1-2 pm • Tutorial Learning Center – Houston Hall 113 MWR 8 am-6 pm T 8 am-7 pm F 8 am-5 pm

  2. Chapter 6 Identifying and Using Forces (Normal Force and Tension)

  3. Problem 5.57 A boy whirls a stone in a horizontal circle of radius 1.5 m and at a height 2.0 m above level ground. The string breaks, and the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 10 m. What is the magnitude of the centripetal acceleration of the stone while in circular motion?

  4. Newton’s 2nd Law in 3D Newton’ 2nd Law is a vector equation… Newton’s 2nd Law can be written in terms of it’s components

  5. Some particular forces… • Gravitational force ( ) • Normal force ( ) • Tension force ( ) • Frictional force ( )

  6. How to solve “F=ma” problems… • Pick a body • Draw free-body diagram • Choose a coordinate system • Break forces into components & use Newton’s 2nd

  7. Quiz Question 1: Two forces are shown acting on an object. For the object not to accelerate, a 3rd force must be applied to the object that has a magnitude equal to: • 1N • 3N • 4N • 5N • 7N 3N 4N

  8. Normal Force: Question An object of mass m rests on the table. What is the force of the table on the object? (What is the ‘normal force’, ? ) • is perpendicular to the surface

  9. Quiz Question 2: The figure below shows 2 equal 100 lb. weights connected by a light string and supported by a pulley. The tension in the string is: • 0 lbs • 50 lbs • 100 lbs • 200 lbs • It is impossible to know from the data given m1

  10. Tension Comment: • For a rope of negligible mass, the magnitude of the force exerted on a rope is the same at all points on the rope

  11. Quiz Question 3 Consider the two situations shown in which there is no acceleration. In both cases the men pull with a force of magnitude F. Is the reading on the scale in part (i) of the figure • greater than • less than • equal to the reading in (ii)?

  12. Example 1: What is the acceleration of mass down the inclined plane? What is the Normal force? (In this problem, friction is negligible)

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