ind [r(t) · u(t)] and [r(t) x u(t)] in two different ways. dt dt r(t) = cos ti + sin tj + tk, u(t) = j + tk (a) Ir(t) · u(t . u(1)] (i) Find the product first, then differentiate. 2t + cos t (ii) Apply the properties of the derivative. cos t+ 2t (b) Ir(e) x u(t)] (i) Find the product first, then differentiate. (ii) Apply the properties of the derivative.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Find
dt
tr(t) · u(t)] and Ir(t) x u(t)] in two different ways.
dt
r(t) = cos ti + sin tj + tk, u(t) = j + tk
Ir(t) · u(t)]
dt
(a)
(i) Find the product first, then differentiate.
2t + cos t
(ii) Apply the properties of the derivative.
cos t + 2t
[r(t) x u(t)]
dt
(b)
(i) Find the product first, then differentiate.
(ii) Apply the properties of the derivative.
Transcribed Image Text:Find dt tr(t) · u(t)] and Ir(t) x u(t)] in two different ways. dt r(t) = cos ti + sin tj + tk, u(t) = j + tk Ir(t) · u(t)] dt (a) (i) Find the product first, then differentiate. 2t + cos t (ii) Apply the properties of the derivative. cos t + 2t [r(t) x u(t)] dt (b) (i) Find the product first, then differentiate. (ii) Apply the properties of the derivative.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Beams
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning