the magnitude of the normal force acting on a person with mass of 70 kg standing at rest on the flat ground would be ?
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To solve the problem it is necessary to apply the concepts given in the kinematic equations of angular motion that include force, acceleration and work.
Torque in a body is defined as,
And in angular movement like
Where,
F= Force
d= Distance
I = Inertia
Acceleration Angular
PART A) For the given case we have the torque we have it in component mode, so the component in the X axis is the net for the calculation.
On the other hand we have the speed data expressed in RPM, as well
Acceleration can be calculated by
In the case of Inertia we know that it is equivalent to
Matching the two types of torque we have to,
PART B) The work performed would be calculated from the relationship between angular velocity and moment of inertia, that is,
To solve this problem we will start by defining the length of the shortest stick as 'x'. And the magnitude of the longest stick, according to the statement as
Both cover a magnitude of 8.32 ft, therefore
Now solving for x we have,
Therefore the shorter stick is 2.695ft long.