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A ball is hanging from a long string that is tied to the ceiling of a train car traveling eastward on horizontal tracks. An observer inside the train car sees the ball hang motionless. Draw a clearly labeled free-body diagram for the ball if (a) the train has a uniform velocity, and (b) the train is speeding up uniformly. Is the net force on the ball zero in either case? Explain.

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Physics 101 Mechanics

Chapter 4

Newton's Laws of Motion

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Rutgers, The State University of New Jersey

University of Washington

Hope College

University of Winnipeg

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

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A ball is hanging from a l…

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05:08

4-2)A passenger on a t…

04:33

A train traveling from New…

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A ball is thrown upward in…

01:47

The woman on the train in …

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Draw the free-body diagram…

00:51

A ball of mass $m$ hangs a…

01:03

A ball is bouncing elastic…

A person riding on the roo…

05:15

(II) A solid rubber ball r…

01:18

A ball attached to a strin…

05:46

Give the magnitude and dir…

02:27

01:58

A ball hangs from a string…

Okay, So the situation of all is hanging from a string. Obviously, house gravity and attention in this string will also, uh, potentially fact so part here you have a constant velocity. So no acceleration. And by Newton's second law, we know that no acceleration means no net force. And so in this case, there's no celebration of the ex direction Uh, distraction. So no net forest horizontal direction, Self. What you have is just vertical forces. There is no horizontal force in this case. So vertical force upwards is the force of attention from the string downwards is the force ofthe gravity or the way OK, part B. There is uniforms, acceleration. And so this means that there is that force. And remember, the train is travelling eastward. So there's a net force in the beast. Uh, Reese turned directions. They're forced peace, words and selves. You're the tension in the string will be displaced to the beats. That's all. And east Whoa Ah, Here be to the right. The figure so t will be slightly displaced. The east and gravity again is acting directly downwards. If it was westwards, the tension would be displaced the other direction to the West and and no. So I'm self finally, and so in part air, the Net Force zero and and part be the Net force is not set, and that's it.

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