Explanation Given: It is known that x = − 540 m at t = 0 . a t is equal to the slope of v − t curve at time t . From t = 0 to t = 10 s : v = constant ⇒ a = 0 t = 10 s to t = 26 s : a = − 20 − 60 26 − 10 = − 5 m / s 2 t = 26 s to t = 41 s : v = constant ⇒ a = 0 t = 41 s to t = 46 s : a = − 5 ( − 20 ) 46 − 41 = 3 m / s 2 t = 46 s : v = constant ⇒ a = 0 To determine (b) Maximum value of position coordinates of the particle. To determine (c) Values of t for which particle is at x = 100 m .

Vector Mechanics for Engineers: Dynamics

11th Edition

ISBN: 9780077687342

Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

See similar textbooks

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…

Videos

Question

Chapter 11.3, Problem 11.64P

To determine

(a)

To construct: the a−t and x−t curves 0<t<50 s.

To determine

(b)

Maximum value of position coordinates of the particle.

To determine

(c)

Values of t for which particle is at x=100 m.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.3, Problem 11.63P

Chapter 11.3, Problem 11.65P

Students have asked these similar questions

answer D only

3. The spatial motion of a particle is described by X = 3t 2 + 4t y = -4t 2 + 3t Z = -6t +9 where the coordinates are measured in feet and the time t is in seconds. (a) Determine the velocity and acceleration vectors of the particle as functions of time. (b) Verify that the particle is undergoing plane motion (the motion is not in a coordinate plane) by showing that the unit vector perpendicular to the plane formed by v and a is constant.

A A particle is moving along a curve. Its x position is described by x = t² m while its y position is given by the function y = 2 + t4 m. Determine the following: a. Sketch an x-y plot of the particle's path, showing the starting position (at t = 0) of and the direction taken by the particle b. At t= 1 sec, determine the velocity and acceleration vectors of the particle. (Express in Cartesian vector form) c. At t = 1 sec, determine the normal and tangential components of the acceleration. Show the vector diagram of the components. d. Determine the magnitude of the acceleration at t = 1 sec.

Chapter 11 Solutions

Vector Mechanics for Engineers: Dynamics

Ch. 11.1 - A bus travels the 100 miles between A and B at 50...Ch. 11.1 - Two cars A and B race each other down a straight...Ch. 11.1 - A snowboarder starts from rest at the top of a...Ch. 11.1 - The motion of a particle is defined by the...Ch. 11.1 - The vertical motion of mass A is defined by the...Ch. 11.1 - A loaded railroad car is rolling at a constant...Ch. 11.1 - The motion of a particle is defined by the...Ch. 11.1 - The motion of a particle is defined by the...Ch. 11.1 - A girl operates a radio-controlled model ear in a...Ch. 11.1 - The motion of a particle is defined by the...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.