Answer:
Option D: 4 mm⁴
Explanation:
Formula for area moment of inertia for a circular cross-section is;
I = πd⁴/64
We are given diameter;
d = 3 mm
Thus;
I = π × 3⁴/64
I = 3.98 mm⁴
Approximating to a whole number gives;
I = 4 mm⁴
First there are many ways to approach this problem. The simplest and most direct in my opinion is this approach:
vf^2=v1^2+2ad
so when the height reaches a maximum of 35m the velocity is zero for a split second before starting to fall. So we set vf=0 and solve for v1.
v1=sqrt(2gd)=sqrt(2*9.8*35)= 26.2m/s
for initial velocity needed to reach 35m height.
Any questions please ask!
Answer:
Distance travelled: 20meters
Displacement: 10 meters.
Explanation:
In geometry and mechanics, a displacement is a vector whose length is the shortest distance from the initial to the final position of a point P undergoing motion. It quantifies both the distance and direction of the net or total motion along a straight line from the initial position to the final position of the point trajectory. A displacement may be identified with the translation that maps the initial position to the final position.
Since direction is part of velocity, and the object is moving in a circle, its velocity is constantly changing.
Explanation:
Both graphs show plotted points forming a curved line. Curved lines have changing slope; they may start with a very small slope and begin curving sharply (either upwards or downwards) towards a large slope. In either case, the curved line of changing slope is a sign of accelerated motion (i.e., changing velocity).