
A meter stick is placed vertically at the origin on a frictionless surface. A gentle push in direction is given to the top most point of the rod when it has fallen completely coordinate of center of rod is at:
(a) Origin
(b)
(c)
(d)
Answer
489.9k+ views
1 likes
Hint: A meter stick is placed in a vertical direction at the origin on a frictionless surface. A gentle push in positive -direction is given to the topmost point of the rod when it has fallen completely, - coordinate of the center of mass of rod
Complete step by step solution:
It looks like there is no external force applied on the rod along the x-axis.
After reading the statement “A gentle push in positive x-direction is given to the topmost point of the rod.”
But we know, if the external force acting on the particle is zero, the position of the center of mass remains the same. It doesn't change.
So, new - coordinate of the center of mass of rod = initial x - coordinate of the center of mass of the rod.
We have the initial center of the mass
That is initial - coordinate of com
So, new - coordinate of com
But -coordinate has changed because of a gravitational force acting along the -axis. And it will be changed from to zero as shown in the figure.
and that is origin
Therefore the new center of mass of the rod is at the origin.
Hence, the correct answer is option (a).
Note:To know the frictionless surface we have to take the example of a skater. If there are no forces acting upon the skater and he is on a frictionless surface, then that means he has no net acceleration. If an object moves with the velocity and if there is no acceleration, then the velocity remains constant.
Complete step by step solution:

It looks like there is no external force applied on the rod along the x-axis.
After reading the statement “A gentle push in positive x-direction is given to the topmost point of the rod.”
But we know, if the external force acting on the particle is zero, the position of the center of mass remains the same. It doesn't change.
So, new
We have the initial center of the mass
That is initial
So, new
But
Therefore the new center of mass of the rod is at the origin.
Hence, the correct answer is option (a).
Note:To know the frictionless surface we have to take the example of a skater. If there are no forces acting upon the skater and he is on a frictionless surface, then that means he has no net acceleration. If an object moves with the velocity and if there is no acceleration, then the velocity remains constant.
Latest Vedantu courses for you
Grade 8 | ICSE | SCHOOL | English
Vedantu ICSE 8 Pro Courses(2025-26)
School Full course for ICSE students
₹35,200 per year
Recently Updated Pages
Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Physics: Engaging Questions & Answers for Success

Master Class 11 Biology: Engaging Questions & Answers for Success

Trending doubts
How many moles and how many grams of NaCl are present class 11 chemistry CBSE

How do I get the molar mass of urea class 11 chemistry CBSE

Define least count of vernier callipers How do you class 11 physics CBSE

Plants which grow in shade are called A Sciophytes class 11 biology CBSE

A renewable exhaustible natural resource is A Petroleum class 11 biology CBSE

In which of the following gametophytes is not independent class 11 biology CBSE
