Graphically determine the resultant of the following three vector displacements: (1) 34 m, 25º north of east; (2) 48 m, 33° east
of north; and (3) 22 m, 56° west of south.
1 answer:
Answer:
Explanation:
In the first attached image, we can see, the nomenclature used for Angle orientations.
To sum the vectors we must join the head of one of them with the tail of the next, at the end joins the tail of the first vector with the head of the last vector.
In the second attached image, we can find graphically the sum of each of the vectors.
The resultant vector has a length of 57.36[m], and goes 48° north of east.
You might be interested in
Answer:
5.4 ms⁻¹
Explanation:
Here we have to use conservation of energy. Initially when the stick is held vertical, its center of mass is at some height above the ground, hence the stick has some gravitational potential energy. As the stick is allowed to fall, its rotates about one. gravitational potential energy of the stick gets converted into rotational kinetic energy.
= length of the meter stick = 1 m
= mass of the meter stick
= angular speed of the meter stick as it hits the floor
= speed of the other end of the stick
we know that, linear speed and angular speed are related as
= height of center of mass of meter stick above the floor =
= Moment of inertia of the stick about one end
For a stick, momentof inertia about one end has the formula as
Using conservation of energy
Rotational kinetic energy of the stick = gravitational potential energy