Assignment # 2 MTH404 (Fall 2019)

Maximum Marks: 20
Due Date: 10 -12-2019

DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
• To solve this assignment, you should have good command over First 18 lectures.

• Try to get the concepts, consolidate your concepts and ideas from these questions which you learned in first 18 lectures.

• Upload assignments properly through LMS, No Assignment will be accepted through email.
• Write your ID on the top of your solution file.
• Don’t use colorful back grounds in your solution files.
• Use Math Type or Equation Editor etc for mathematical symbols.
• You should remember that if we found the solution files of some students are same then we will reward zero marks to all those students.
• Try to make solution by yourself and protect your work from other students, otherwise you and the student who send same solution file as you will be given zero marks.
• Also remember that you are supposed to submit your assignment in Word format any other like scan images etc will not be accepted and we will give zero marks correspond to these assignments.
Question No. 1:

A particle P is moving in a straight line with Simple harmonic motion. The particle completes 6 oscillations per second and passes through the center of oscillation, O, with speed 5ms-1. Calculate the amplitude of the motion. MARKS 10

Question No. 2:
A particle of mass 3 kg moves under the force F in xy-plane such that at any time its polar coordinates are given by . Find the radial and transverse components of Force. MARKS 10

Assignment # 1 MTH404 (Fall 2019)

Maximum Marks: 20
Due Date: 17 -11-2019

DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
• To solve this assignment, you should have good command over First 8 lectures.

• Try to get the concepts, consolidate your concepts and ideas from these questions which you learned in first 8 lectures.

• Upload assignments properly through LMS, No Assignment will be accepted through email.
• Write your ID on the top of your solution file.
• Don’t use colorful back grounds in your solution files.
• Use Math Type or Equation Editor etc for mathematical symbols.
• You should remember that if we found the solution files of some students are same then we will reward zero marks to all those students.
• Try to make solution by yourself and protect your work from other students, otherwise you and the student who send same solution file as you will be given zero marks.
• Also remember that you are supposed to submit your assignment in Word format any other like scan images etc will not be accepted and we will give zero marks correspond to these assignments.

Question No. 1:

A particle is moving in such a way that its position at any time t is specified by

Find its velocity and acceleration. MARKS 10

Question No. 2:

Find the expression for the displacement and the velocity attained by a particle moving in a straight line at any time ‘t’ if it starts from rest at t=0 and is subject to the acceleration given by
MARKS 10