Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a speed of 28 m/s, the block hangs vertically down. But when the van maintains this same speed around an unbanked curve (radius 150 m), the block swings toward the outside of the curve. Then the string makes an angle $\theta$ with the vertical. Find $\theta$

$28^{\circ}$

Physics 101 Mechanics

Chapter 5

Dynamics of Uniform Circular Motion

Newton's Laws of Motion

Applying Newton's Laws

Cornell University

Rutgers, The State University of New Jersey

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.

03:43

In physics, dynamics is the branch of physics concerned with the study of forces and their effect on matter, commonly in the context of motion. In everyday usage, "dynamics" usually refers to a set of laws that describe the motion of bodies under the action of a system of forces. The motion of a body is described by its position and its velocity as the time value varies. The science of dynamics can be subdivided into, Dynamics of a rigid body, which deals with the motion of a rigid body in the frame of reference where it is considered to be a rigid body. Dynamics of a continuum, which deals with the motion of a continuous system, in the frame of reference where the system is considered to be a continuum.

04:23

A small sphere is hung by…

07:39

A small sphere is hung by …

02:07

A van accelerates down a h…

01:39

Two blocks $m$ and $M$ tie…

02:19

A block rests on a horizon…

02:12

A pendulum consists of a s…

and this problem. We have defined the angles data that a blocking from the ceiling of a car makes as it's going around a circle. Now, if we draw the freeway diagram of the car like I've done here, we can get their attention. Force pulling the block up has also gravitational force pointing down. I've moved the gravitational force up here. You're right. If you're thinking that should be pointing down from the block. But I've just moved up here to make it clearer under what the relationship is between the components of the tension force and the gravitational force. Now, as you can see, the why component to you, why you just my pen. This was canceling out the gravitational force mg and that, um, that vertical component t Y is equal to t coast data, as you can see from the labeled angle in the diagram. Now, we also have a horizontal component and send something must be responsible for the centripetal force acting on the block. That must be what's equal to m. V squared over r using the same logic and trigonometry, we concede that t signed data is there for equal to M v squared over R. Now we have two different qualities that have an angle value in them so we can stack them on top of each other, divide them to find a relationship. Um, with only one angle measurements, we get key sign data over T Coast data is M V squared over R over mg. Can't you get her ends? We find the tangent of data must be equal to B squared over g r. Then, of course, data is equal to the inverse tangent of that same value. Now we have everything in terms of quantities that we know and that enables us sensibly. Plug in and we get 28 years per second squared all over 9.8 meters. Second squared times 150 meters. We solve this. We find that data, does he go to 28.7 degrees, or it around to the nearest full angle 28 degrees. And that is gonna be our answer for this problem.

View More Answers From This Book

Find Another Textbook

01:57

A car accelerates uniformly from rest to 20.0 m/s in 5.6 s along a level str…

02:13

Multiple-Concept Example 9 reviews the concepts that play roles in this prob…

02:06

A vertical spring with a spring constant of 450 $\mathrm{N} / \mathrm{m}$ is…

07:07

The drawing shows a sulfur dioxide molecule. It con- sists of two oxygen ato…

A spring stretches by 0.018 m when a $2.8-\mathrm{kg}$ object is suspended f…

At some airports there are speed ramps to help passengers get from one place…

01:58

A cylinder is fitted with a piston, beneath which is a spring, as in the dra…

04:00

A 15.0 -kg block rests on a horizontal table and is attached to one end of a…

05:20

As preparation for this problem, review Conceptual Example 10. The two stone…

02:39

The drawing shows three situations in which a block is attached to a spring.…