A ‘ ’ shaped object with dimensions shown in the figure, is lying on a smooth floor. A force ‘
’ is applied at the point
parallel to
, such that the object has only the translational motion without rotation. Find the location of
with respect to
a) |
|
b) |
|
c) |
|
d) |
|
A ‘ ’ shaped object with dimensions shown in the figure, is lying on a smooth floor. A force ‘
’ is applied at the point
parallel to
, such that the object has only the translational motion without rotation. Find the location of
with respect to
a) |
|
b) |
|
c) |
|
d) |
|
(a)
For translatory motion the force should be applied on the centre of the mass of the body. So we have to calculate the location of centre of mass of ‘ ’ shaped object.
Let mass of rod is
so the mass of the rod
will be
Let is the centre of mass of rod
and
is the centre of mass of rod
. We can consider that whole mass of the rod is placed at their respective centre of mass
mass
is placed at
and mass
is placed at
Taking point ‘ ’ at the origin position vector of point
and
can be written as
and
and
Position vector of centre of mass of the system
Hence the distance of centre of mass from
If the external forces acting on a system have zero resultant, the center of mass |
|||||||
a) |
May move but not accelerate |
b) |
May Accelerate |
c) |
Must not move |
d) |
None of the above |
We hope we have given the updated helpful answer / content for your query in an easily accessible format to help you in preparing adequately. We do offer free support materials, 11th maths guide 11th maths guide 12th maths guide 10th maths guide, also for all the classes books and guide to all the students who sign up for SaraNextGen. Apart from traditional textbook queries, we've got conjointly provided further high order level thinking issues, that are seemingly to be expected in boards and competitive exams. It includes conceptual queries, MCQs, Long and short answer type queries, etc. These Questions are designed to learn each student and academics by providing chapter-wise further issues focusing totally on testing conceptual information with applications. Here, we've got provided a number of the necessary ways in which within which the solutions of all the Questions will profit students of class 1 to 12. If you have any queries, drop a message to us and we will get back to you at the earliest.