Answer:
The magnitude of applied force,parallel to the incline is 575.38 N and parallel to the floor is 605 N.
Explanation:
Given:
Mass of the piano = 190 kg
Inclined angle = 18 degree
Considering gravity, = 9.8
And
Using, and
<em>FBD diagram is attached with all the force acting on the floor and and the inclined. </em>
We have to find the magnitude of forces,when the man pushes it parallel to the incline and to the floor.
a.
When the man pushes it parallel to the incline.
Balancing the forces as .
⇒
⇒
⇒ Here it is negative as the force is acting downward.
⇒ Plugging the values of mass and angle .
⇒
⇒ N
b.
When the force is parallel to the floor.
⇒
⇒
⇒ Plugging the values.
⇒
⇒ N
So,
The magnitude of applied force in inclined direction is 575.38 Newton and parallel to the floor is 605 N.
Explanation is in the file
tinyurl.com/wpazsebu
Answer:
1.190390345 degrees.
Explanation:
As stated in the problem that the angle between the two curves is also the angle between slopes of the two cures at the point of intersection, which is 1 (when we set two equation equal and solve for x).
We know, if you don't you could verify it for yourself and it will be a nice mathematical exercise for you, that when there are two lines with slopes and then the angle between them and their two slopes has following relationship.
where is angle between the two lines.
As it is clear that we can easily get the angle between the two curves if we know slopes at that point, which you will see in second is very straight forward to calculate.
Slopes are simply derivatives evaluated at the point of intersection and the two derivatives are 16x and , substituting x =1 we get, and .
Now put and in this relationship, rearrange and solve for angle, it will come out to be
= 1.190390345 degrees.
that is our angle that we want to know between the two cures at the point of their intersection.
Answer:
Done
Explanation:
The differences are significant. The main disadvantages of a pinhole camera compared to a modern camera are:
Proper exposure requires a trial and error approach.
Requires manual control of shutter speed (difficult to control)
Poor image quality (due to diffraction effects).
Long exposures (lead to blurry images if the subject moves).
Fixed aperture or f-stop.
Advantages include:
Large depth of field.
Inexpensive
Robust and nearly 100% reliable.
If used properly can create artistic effects.