SATHEE: Kinematics Question 110

Kinematics Question 110

Question: A vector $\vec{a}$ it’s turned without a change in it’s length through a small angle $d θ .$ The value of $| Δ \vec{a} |$ and $Δ a$ are respectively

Options:

A) $0, a d θ$

B) $a d θ, 0$

C) 0, 0

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$| \vec{O A} | = a$ and $| \vec{O B} | = a$

Also from triangle rule $\vec{O B} - \vec{O A} = \vec{A B} = Δ \vec{a}$

$\Rightarrow | Δ \vec{a} | = A B$

Using angle $= \frac{a r c}{r a d i u s}$

therefore AB = a . dq

So $| Δ \vec{a} | = a d θ$

$Δ a$ means change in magnitude of vector i.e. $| \vec{O B} | - | \vec{O A} |$

$\Rightarrow a - a = 0$ So $Δ a = 0$

Play Store

App Store

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Kinematics Question 110

Question: A vector a→ it’s turned without a change in it’s length through a small angle dθ. The value of |Δa→| and Δa are respectively

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu

Question: A vector $\vec{a}$ it’s turned without a change in it’s length through a small angle $d θ .$ The value of $| Δ \vec{a} |$ and $Δ a$ are respectively