00:01
Here in this game problem, in question number 1, in the first part of the question number 1, we have to define a dimensionless quantity.
00:11
And we know a dimensionless physical quantity that is one in which the dimensions of all the fundamental units are zero fundamental units namely mass, length and time.
01:08
And in the second part of this question number one, it is given that the frictional force acting on an object that is given by the expression f is equal to mu times mg where mu is the coefficient of friction.
01:27
So, this coefficient of friction is given by f divided by mg.
01:35
So, if we need to find out the dimensional formula for this mu, first of all, dimensional formula for the force that is m l t minus 2 divided by dimensional formula for the mass multiplied by dimensional formula for the acceleration that is l t minus 2 so here all these dimensions are cancelled out leaving behind the dimensional formula for coefficient of of friction to be given as m0l0t0.
02:13
Hence, it is clear that coefficient of friction is a dimensionless quantity.
02:41
Then in the second question, that is question number two, in its first part, we have to define spring constant for a spring.
02:59
That is spring constant and of a spring, it may be defined as the restoring force developed in that spring for a unit, for a unit change in its length taking place.
04:07
Hence, k is given as f by e.
04:11
F is the restoring force e is the change in its length...