A 350 g mass on a 45-cm-long string is released at an angle of 4.5° from vertical. It has a damping constant of 0.010 kg/s. After 25 s, how many oscillations has it completed?

The value is  

Explanation:

From the question we are told that

   The mass is  

   The length is  

    The angle is  

    The damping constant is  

    The time taken is

Generally the angular frequency of this damped oscillation is mathematically evaluated as

=>    

=>  

Generally the period of the oscillation is mathematically represented as

=>  

=>  

Generally the number of oscillation is mathematically represented as

=>    

=>    

because it says use -2,0,and 2 for x, we can plug those numbers into the equation. y/4=3/4(-2)+2   y/4= -1 1/2 +2 now to get x by itself, we can multiply each side by 4. y=-6+8 which equals y=2 when x=-2. now you can do the same thing with 0 and 2 as x. you get y=8 when x=0 and y=14 when x=2.

x   |   y

-2 |   2

0   |   8

2   |   14

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle