SOLID MECHANICS
DYNAMICS
PRE-REQUISITE STUDIES TUTORIAL 1
LINEAR AND ANGULAR DISPLACEMENT, VELOCITY AND
ACCELERATION
This tutorial is essential for anyone studying the group of tutorials on beams.
• Essential pre-requisite knowledge for Edexcel HNC Mechanical
Principles UNIT 21722P.
• Essential pre-requisite knowledge for the Engineering Council Diploma
Exams D209 Mechanics of Solids and D225 Dynamics of Mechanical
Systems.
• Essential pre-requisite knowledge for the Engineering Council
Certificate Exam C105 Mechanical and Structural engineering.
• Covers part of the syllabus for the Engineering Council Certificate Exam
C103 Engineering Science.
On completion of this tutorial you should be able to
• Define linear motion.
•
…show more content…
Figure 3
Average velocity = total distance travelled/time taken
Average velocity = area under graph/base length
Since the base length is also the time taken it follows that the area under the graph is the distance travelled. This is true what ever the shape of the graph. When working out the areas, the true scales on the graphs axis are used.
WORKED EXAMPLE No.2
Find the average velocity and distance travelled for the journey depicted on the graph above. Also find the acceleration over the first part of the journey.
SOLUTION
Total Area under graph = A + B + C
Area A = 5x7/2 = 17.5 (Triangle)
Area B = 5 x 12 = 60 (Rectangle)
Area C = 5x4/2 = 10 (Triangle)
Total area = 17.5 + 60 + 10 = 87.5
The units resulting for the area are m/s x s = m
Distance travelled = 87.5 m
Time taken = 23 s
Average velocity = 87.5/23 = 3.8 m/s
Acceleration over part A = change in velocity/time taken = 5/7 = 0.714 m/s2.
© D.J.DUNN
5
SELF ASSESSMENT EXERCISE No.2
1.
A vehicle travelling at 1.5 m/s suddenly accelerates uniformly to 5 m/s in 30 seconds. Calculate the acceleration, the average velocity and distance travelled.
(Answers 0.117 m/s2, 3.25 m/s and 97.5 m)
2.
A train travelling at 60 km/h decelerates uniformly to rest at a rate of 2 m/s2.
Calculate the time and distance taken to stop.
(Answers 8.33 s and 69.44 m)
3.
A shell fired in a gun accelerates in the barrel over a length of 1.5 m to the exit
velocity
Based off the picture I can assume that it will expand by the factor of one over four & then it's probably going to become 25 percent larger. Instead of TU crossing the x - axis at one it's going to be at 1.25. As far as the relationship i'm not 100% positive if it's going to expand to at least 25 percent or shrink 25 percent of the squares default size.
For $e_1$, the distance from node $n_2$ to object $t_1$ are computed, the edge is $e_1$, the end node of the $e_1$ is $n_1$ ,
Draw a graph that shows the distance Jacob’s car is from his house with respect to time. Remember
At first I did not not feel very confident when trying to answer this question because I could not remember the method involved when converting scale. I was able to interpret the question and I understood what it required; however, I could not recall the process involved in reaching the answer. After trying a few different methods and giving it some thought, I remembered what to do. I had learnt how to answer these questions in high school geography and I still had the knowledge, but I just had to go through the process of recalling it. So, the method I used to solve the problem was to write out the scale used in the diagram as a ratio, simplify it and then convert it to a written statement. Thus, I was unsure about how to answer this question
Use the elementary school textbooks you selected to complete the following table. You must review at least one textbook from each of the following three grade ranges: Grades K–2, Grades 3–5, and Grades 6–8.
9) Since you are plotting displacement on the y-axis and time on the x-axis, this is an example
The purpose of this lab was to test the relationship between velocity, position and time. As well as identify how accelerations affects an object's velocity and time. In this experiment, we will collect data on velocity, speed, and time. We used the equation Y=mx+b, in order to compare the velocity of each trial by comparing the slope and the y-intercept. If the slope was steeper on the graph, this meant that the cart had an increase in velocity. If the cart maintains at a constant speed, then the cart will have an increase in acceleration. In class we learned about the principles of acceleration, time, and velocity. Acceleration is an object’s increase in velocity. Velocity is how
Knowing this information, you need to first tell me, and then show this in your graph:
In a care home setting a relative may feel like they are putting their adored one (service user) in danger of further abuse or biased treatment on the off chance that they whine. They may expect that they will be distinguished just like the one who whined and afterward, thus, that the service user may be the objective of staff reaction. Then again, a lot of relatives perceive how hard the care staff are functioning and feel that they would prefer not to grumble since they identify with the troublesome activity that the carers need to complete, so they may feel like they are being unreasonable for the care their cherished one gets.
The Crucible introduces Reverend Hale as a man who believes he knows right from wrong, but after taking part in the witch trials, he leaves bewildered, questioning his morals. Furthermore, Kingston’s The Woman Warrior reveals the hardships that immigrants must face while acclimating to American culture, a dilemma that Kingston wrestles with throughout the stories. In the memoir, Brave Orchid, Kingston’s mother, remains fixed on not conforming to American values. Although Reverend Hale and Brave Orchid’s personalities diverge in their respective works, both characters react differently to major events in their lives. Though, Reverend Hale emerges as a progressive character, whereas Brave Orchid remains static. Reverend Hale from Miller’s The Crucible decides to accept the reality of the world around him and adapt while Brave Orchid from Maxine Hong Kingston’s The Woman Warrior remains unvaried despite her rapidly changing environment.
The function in Figure 1 can be expressed as a simple equation: D 500 h 500 50 h ,
Problem: How does the increase mass affect acceleration and the force of the accelerating object?
The story of the Wife of Bath is one that has a prologue and tale containing descriptions of the Wife of Bath and how she lived her life. Throughout both the prologue and the tale, the woman constantly talks about herself and flatters herself by informing everyone of how she lived her life. Although some other people disagree with her life decisions and try to tell her so, she does not let that get in her way and instead she argues back until they tell her she is right. The Wife of Bath believed that she was always right, and if she actually was wrong, she would turn it on the other person and make them feel as if they were wrong so they would have pity for her and say she is right. Overall, the Wife of Bath was characterized as an anti-feminist
Problem: How does the increase mass affect acceleration and the force of the accelerating object?
Theory states that T and d are related by the equation: T2 = kd3+ (4π2 l)/g where g is the acceleration of free fall and k is a constant.