Answer:
No, the ride is not safe
Explanation:
From the diagram attached, it is seen that

................(1)

.......(2)

From the diagram, 


............(3)
Put (3) into (2)


w = weight of chair + weight of child = 50 + 10 = 60 lb
g = 32 ft/s²
m = w/g = 60/32 = 1.875
L = 30 ft
T = 3 secs


since 246.74 lbs > 200 lbs, it is not safe because the stationary chair will creak
Answer:
0.066m
Explanation:
Step one:
given
frequency =512 Hz
The speed of sound is 340.0 m/s.
Required
The wavelength
Step two:
the formula for wavelength is


substitute the given data

Answer:
L = 41.09 Kg m2 / s The angular momentum does not depend on the time
Explanation:
The definition of angular momentum is
L = r x p
Where blacks indicate vectors
Let's apply this definition our case. Linear momentum
p = m v
Let's replace
L = m r x v
The given function is
x = 6.00 i ^ + 4.15 t j
^
We look for speed
v = dx / dt
v = 0 + 4.15 j ^
To evaluate the angular momentum one of the best ways is to use determinants
![L = m \left[\begin{array}{ccc}i&j&k\\6&4.15t&0\\0&4.15&0\end{array}\right]](https://tex.z-dn.net/?f=L%20%3D%20m%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C6%264.15t%260%5C%5C0%264.15%260%5Cend%7Barray%7D%5Cright%5D)
L = m 6 4.15 k ^
The other products give zero
Let's calculate
L = 1.65 6 4.15 k ^
L = 41.09 Kg m2 / s
The angular momentum does not depend on the time