4. The figure below shows a bulldozer. Notice that the track on the bulldozer (the tread that wraps around the wheels) is kinematically similar to the conveyor belt in the previous problem. D E Suppose the person operating the bulldozer knows the distance between the two main wheels on the side of the vehicle. She looks out the window and, with the aid of a stopwatch, notices that the track is moving forward from her perspective at a constant speed v. Furthermore, as the bulldozer drives forward, the track does not slide or skid on the ground. In answering the sub-questions below, use the idea contained in Equation (2) and express answers in terms of basis (ê1, ê2). You may utilize results from Problem 3. (a) Using the terminology in (2), what does the quantity v directly represent? (b) Let C be a point on the track in contact with the ground. What is the velocity of point C as observed by a stationary person on the ground watching the bulldozer? Why? (c) Find the velocity of point E, at the center of the rear wheel as observed by a stationary person on the ground. What is the importance of this velocity to the person operating the bulldozer?

4. The figure below shows a bulldozer. Notice that the track on the bulldozer (the tread that wraps around the wheels) is kinematically similar to the conveyor belt in the previous problem. D E Suppose the person operating the bulldozer knows the distance between the two main wheels on the side of the vehicle. She looks out the window and, with the aid of a stopwatch, notices that the track is moving forward from her perspective at a constant speed v. Furthermore, as the bulldozer drives forward, the track does not slide or skid on the ground. In answering the sub-questions below, use the idea contained in Equation (2) and express answers in terms of basis (ê1, ê2). You may utilize results from Problem 3. (a) Using the terminology in (2), what does the quantity v directly represent? (b) Let C be a point on the track in contact with the ground. What is the velocity of point C as observed by a stationary person on the ground watching the bulldozer? Why? (c) Find the velocity of point E, at the center of the rear wheel as observed by a stationary person on the ground. What is the importance of this velocity to the person operating the bulldozer?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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 created or destroyed — only transformed.

Question

4. The figure below shows a bulldozer. Notice that the track on the bulldozer (the tread that
wraps around the wheels) is kinematically similar to the conveyor belt in the previous problem.
D
В
E
Suppose the person operating the bulldozer knows the distance between the two main wheels
on the side of the vehicle. She looks out the window and, with the aid of a stopwatch, notices
that the track is moving forward from her perspective at a constant speed v. Furthermore, as
the bulldozer drives forward, the track does not slide or skid on the ground.
In answering the sub-questions below, use the idea contained in Equation (2) and express
answers in terms of basis (ê1, ê2). You may utilize results from Problem 3.
(a) Using the terminology in (2), what does the quantity v directly represent?
(b) Let C be a point on the track in contact with the ground. What is the velocity of point
C as observed by a stationary person on the ground watching the bulldozer? Why?
(c) Find the velocity of point E, at the center of the rear wheel as observed by a stationary
person on the ground. What is the importance of this velocity to the person operating
the bulldozer?
(d) Find the velocity of point A on the top part of the track as observed by a stationary person
on the ground.
(e) Find the velocity of point B on the track as observed by a stationary person on the ground.
What is the direction of is velocity vector compared to the velocity of the bulldozer?
(f) Find the velocity of point B on the track as observed by a stationary person on the ground.
What is the direction of is velocity vector compared to the velocity of the bulldozer?

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