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The inertia matrix appears in the application of Newton's second law to a rigid assembly of particles.
Revision notes on 4.4.2 Newton's Second Law for the AQA A Level Physics syllabus, written by the Physics experts at Save My Exams.
Inertial mass - The mass determined by Newton’s Second Law of Motion; m = F ÷ a. For some classes, it may be appropriate to rearrange equations before substituting numbers, which prepares pupils for solving complex calculations more effectively in A–level physics. Teacher tip.
Newton's second law of motion can be described by this equation: resultant force = mass × acceleration. \ ( F = m \ a\) This is when: force (F) is measured in newtons (N) mass (m) is...
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Newton's second law of motion can be formally stated as follows: This verbal statement can be expressed in equation form as follows: The above equation is often rearranged to a more familiar form as shown below. The net force is equated to the product of the mass times the acceleration. In this entire discussion, the emphasis has been on the net fo...
The Fnet= m • a equation is often used in algebraic problem solving. The table below can be filled by substituting into the equation and solving for the unknown quantity. Try it yourself and then use the click on the buttons to view the answers.
The numerical information in the table above demonstrates some important qualitative relationships between force, mass, and acceleration. Comparing the values in rows 1 and 2, it can be seen that a doubling of the net force results in a doubling of the acceleration (if mass is held constant). Similarly, comparing the values in rows 2 and 4 demonstr...
As stated above, the direction of the net force is in the same direction as the acceleration. Thus, if the direction of the acceleration is known, then the direction of the net force is also known. Consider the two oil drop diagrams below for an acceleration of a car. From the diagram, determine the direction of the net force that is acting upon th...
Inertial mass is a measure of how difficult it is to change the velocity of an object. The inertial mass can be measured using this rearrangement of Newton's second law:
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We apply Newton’s second law: $$\vec{F}_{net} = m \vec{a} = (0.400\; kg) \big(3.00\; \hat{i} + 7.00\; \hat{j}\; m/s^{2} \big) = 1.20\; \hat{i} + 2.80\; \hat{j}\; N \ldotp$$ Magnitude and direction are found using the components of \(\vec{F}_{net}\): $$F_{net} = \sqrt{(1.20\; N)^{2} + (2.80\; N)^{2}} = 3.05\; N\; and\; \theta = \tan^{-1} \left ...
