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PHYS 1P21 Lecture Notes - Lecture 12: Circular Motion, Net Force

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20 May 2016

School

Brock University

Department

Course

Professor

Santo D' Agostino

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PHYS 1P21 Full Course Notes

PHYS 1P21 Full Course Notes

Document Summary

They can cause an object to: speed up slow down change its direction of motion. All three of these possible types of effects can be categorized as accelerations. Thus, acceleration means more than just speeding up or slowing down. Newton"s second law of motion has several aspects. The first is that the resulting acceleration is in the same direction as the net force. The second is that the magnitude of the acceleration is related to the magnitude of the force. Newton"s second law of motion has been accurately verified by numerous experiments. Newton"s second law of motion is (in modern vector form) F= ma which is equivalent to a= f/ m. A change in motion is proportional to the motive force impressed and takes place along the straight line in which that force is impressed. We"ll see many examples of applying newton"s second law of motion later in chapter 4.

Related textbook solutions

Physics: Principles with Applications

7th Edition, 2013

ISBN: 9780321625922

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Related Questions

A particle moves according to a law of motion is measured in seconds and s in feet.

(a) Find the velocity at time t.

(b) What is the velocity after 1 second?

(c) Whan is the particle at rest?

(d) When is the particle moving in the positive direction?

(e) Find the total distraveled during the first 6 seconds.

(f) Draw a diagram like Figure 2 to illustrate the motion of the particle.

(g) Find the acceleration at time t and after 1 second.

(h) Graph the positio, velocity, and acceleration function for

(i) When is the particle speeding up? When is it slowing down?

A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet.

(a) Find the velocity at time t.

(b) What is the velocity after 1 second?

(c) When is the particle at rest?

(d) When is the particle moving in a positive direction?

(e) Find the total distance travelled during the first 6 seconds.

(f) Draw a diagram like a Figure 2 to illustrate the motion of the particle.

(g) Find the acceleration at time t and after 1 second.

(h) Graph the position, velocity, and acceleration functions for 0 ≤ t ≤ 6.

(i) When is the particle speeding up? When is it slowing down?

FIGURE 2

f(t) = t³ – 8t² + 24t

This experiment involves centripetal force, the force that keeps objects moving in a circular path. This force is perpendicular to the motion and directed towards the center of the circular orbit. By Newton's Second Law when a centripetal force acts on a mass (in a horizontal plane), the force continually changes the direction of the velocity without changing its magnitude, speed. This change in the direction of the velocity accounts for the centripetal acceleration of the mass, whose direction is towards the center. The relationship between the centripetal force, the mass of the orbiting object, and its speed and distance from the center is described by:

EXTENSION QUESTION: When twirling the mass, students found that despite their best efforts, they could not swing the ball so that the cord remained exactly horizontal.

(a) On the diagram of the rotating mass below, draw a force diagram of the forces acting on the mass and identify each force. Do not include any force components in this diagram.

(b) Explain why it is not possible for the ball to swing so that the cord remains exactly horizontal. Write your answer using complete sentence