A 10 kg box is pulled to the right by 50 N force. If the friction force is 12 N, then the acceleration of the box is: Select one: O a. 8.3 O b. 8.8 O c. 3.8 m/s² O d. 3.3

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 23A: A force of 62,125 pounds pulls on a steel rod that has a diameter of 1800 inches. Find the force...
icon
Related questions
Topic Video
Question
100%

NNED ANSWER FOR SECOND ONE FIRST

Question1. At time t a particle has a velocity v(t) =
t= 0 it is at a point which has a position vector r(t) = 3j .
[2cos(t)]i - [4sin(t)cos(t)]j, t>0 and at time
Find the position of the particle at time t . (3 marks)
b. Find the position of the particle when it first comes to rest . (3 marks)
c.
i.
Find the Cartesian equation of the path of the particle. (3 marks)
Sketch the path of the particle clearly showing scaled axes) giving the domain and
range. (3 marks)
ii.
d. Express |v[² in terms of cos(t) and without using calculus, find the maximum speed of the
particle. (3 marks)
e. Give the time at which the particle is at rest for the second time. (3 marks)
f.
Show that the distance d of the particle from the origin at time t is given by
d² = cos²(2t) + 2cos(2t) + 6 (3 marks)
ii.
i.
%3D
Find the time(s) at which the particle is closest to the origin. (4 marks)
Transcribed Image Text:Question1. At time t a particle has a velocity v(t) = t= 0 it is at a point which has a position vector r(t) = 3j . [2cos(t)]i - [4sin(t)cos(t)]j, t>0 and at time Find the position of the particle at time t . (3 marks) b. Find the position of the particle when it first comes to rest . (3 marks) c. i. Find the Cartesian equation of the path of the particle. (3 marks) Sketch the path of the particle clearly showing scaled axes) giving the domain and range. (3 marks) ii. d. Express |v[² in terms of cos(t) and without using calculus, find the maximum speed of the particle. (3 marks) e. Give the time at which the particle is at rest for the second time. (3 marks) f. Show that the distance d of the particle from the origin at time t is given by d² = cos²(2t) + 2cos(2t) + 6 (3 marks) ii. i. %3D Find the time(s) at which the particle is closest to the origin. (4 marks)
A 10 kg box is pulled to the right by 50 N force. If the friction force is 12 N, then the acceleration of the box is:
Select one:
O a. 8.3
O b. 8.8
O c. 3.8 m/s?
O d. 3.3
Transcribed Image Text:A 10 kg box is pulled to the right by 50 N force. If the friction force is 12 N, then the acceleration of the box is: Select one: O a. 8.3 O b. 8.8 O c. 3.8 m/s? O d. 3.3
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage