ChemPhys 173/273

Unit 9: Circular Motion and Gravitation

Problem Set A

 

Overview:

Problem Set A targets your ability to use vector principles and Newton's laws of motion in order to analyze the motion of objects moving in circles or along curved paths. Perhaps more than any other topic, the motion of objects in circles represents a strong blend of conceptual ideas with mathematical relationships. It would be difficult to be highly successful on most topics in Physics without a strong mathematical base; that is certainly true of this topic. But it is just as true to say that it would very difficult to be highly successful with mathematical problems regarding motion in circles without a strong conceptual base. Most of this problem set involves an application of Newton's laws to the motion of objects along circular paths. There are three basic ideas and skills which you will need to master to be successful on this set of problems. They are:

 

 

 

 

Additional Readings/Study Aids:

The following pages from The Physics Classroom tutorial may serve to be useful in assisting you in the understanding of the concepts and mathematics associated with these problems.

Forces | Mass and Weight | Drawing Free-Body Diagrams

Speed and Velocity | Centripetal Acceleration | Mathematics of Circular Motion

Circular Motion and Fnet = m•a | Amusement Park Physics

 

View Sample Problem Set.

 

Problem

Description

Audio Link
1

Routine calculation of the speed of an object moving in circular motion; diameter and period are given.

2

Calculation of the acceleration of an object moving in circular motion; speed and diameter are given; requires some attention to units.

3

Determination of the acceleration of an object moving in a circle; information about diameter and the number of revolutions in a specific time are given.

4

Determination of the acceleration of an object moving in a circle; the radius and rotational frequency are given.

5

Determination of the linear speed of an object moving in a circle; the radius and rotational frequency are given.

6

Referring to the previous problem; determine the acceleration.

7

Determination of the acceleration of an object moving in a circle; the radius and rotational frequency are given.

8

Referring to the previous problem; determine the acceleration at a different rotational frequency

9

Determination of the rotational frequency of an object moving in a circle; the diameter and the acceleration are given.

10

Determination of the speed of an object moving in a circle; the force, mass and radius are given.

11

Determination of the speed of an object moving in a horizontal circle; requires a force analysis to determine acceleration.

12

Determination of the speed of an object at one location while moving in a vertical circle; requires a force analysis to determine acceleration.

13

Determination of the radius of a circle through which an object is moving; acceleration and speed are given.

14

Referring to the previous problem; determination of the net force from mass and acceleration.

15

Determination of the net force by combining trigonometry and a force analysis.

16

Referring to the previous problem; determination of the acceleration from the net force and mass.

17

Determination of the normal force acting upon an object at the bottom of a vertical circle; requires a force analysis.

18

Referring to the previous problem; determine the maximum speed at the top of a vertical circle; requires a force analysis.

19

Determination of the minimum speed of an object at the top of a vertical circle; requires a force analysis.

20

Determination of the radius of curvature at the top of a roller coaster loop; requires a force analysis to determine the acceleration.

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