Could you explain what this equation means:Suyash Singh said:I am no expert but my syllabus is same
I am trying for practice
(m1+m2)R=m1r1+m2r2
8(R)=3(0)+5(0.8)
8R=4
R=1/2
Mment of inertia=MR^2
=8 1/4
=2 Kg m^2
is this correct please tell me
Pablo said:the center of mass of a system
Is that the centre of mass?Pablo said:moments of inertia of the system about the middle (0.4m)
Is my answer correct?Pablo said:Could you explain what this equation means:
(m1+m2)R=m1r1+m2r2
Are torques and weights needed to find the center of mass of this and other systems?Dr Dr news said:The first move is to establish the location of the center of mass. It is the balance point where the torques due to the different weights are equal and opposite.
Isn't there a mathematical way to find the CM using algebra?Dr Dr news said:Another way to find the center of mass is to suspend the body and a plumb bob from the same suspension point and repeat using a different point of suspension. Where the two plumb lines cross is the location of the c.m.
I will keep that under advisement. Thanks.Dr Dr news said:Certainly. If you Google center of mass you will find several equations.
Moment of inertia is a measure of an object's resistance to changes in its rotational motion. It is a property that depends on the mass and distribution of mass within the object.
The moment of inertia of a system of masses can be calculated by summing the products of each mass and its squared distance from the axis of rotation. This is represented by the formula I = ∑mr², where I is moment of inertia, m is mass, and r is distance from the axis of rotation.
The moment of inertia of a system of masses is primarily affected by the mass and distribution of mass within the system. Objects with larger masses and/or masses located farther from the axis of rotation will have a larger moment of inertia.
Moment of inertia is important in understanding how objects will behave when rotating. It is also used in many practical applications, such as designing rotating machinery and calculating the stability of structures.
No, moment of inertia cannot be negative. It is a measure of an object's resistance to rotation and therefore must be a positive value. However, it is possible for the moment of inertia to have a negative sign if the axis of rotation is chosen incorrectly in the calculation.