Relative to the positive horizontal axis, rope 1 makes an angle of 90 + 20 = 110 degrees, while rope 2 makes an angle of 90 - 30 = 60 degrees.
By Newton's second law,
- the net horizontal force acting on the beam is

where
are the magnitudes of the tensions in ropes 1 and 2, respectively;
- the net vertical force acting on the beam is

where
and
.
Eliminating
, we have





Solve for
.



Explanation:
It is given that,
length of steel wire, l = 0.75 m
Mass of the wire, m = 12 g = 0.012 kg
Fundamental frequency, f = 120 Hz
We need to find the mass of the anvil (m'). The fundamental frequency is given by :

v is the speed of the mass
Speed is given by :

is the mass per unit length,

T is the tension in the wire,



T = 518.4 N
Tension in the wire, T = m' g


m' = 52.89 kg
So, the mass of the anvil is 52.89 kg. Hence, this is the required solution.
The average speed of the whole travel is equal to <u>400 mph</u>.
Why?
From the statement, we know that whole travel is divided into three parts. For the first part (traveling from New York to Chicago), we have that it was 3.25 hours and the covered distance was half of the total distance (1400mi). For the second part, we have that it was 1 hour (layover time), and the covered no distance. For the third part (traveling from Chicago to Los Angeles), we have that it was 2.75 hours, and it took the other half of the total distance (1400mi).
We can calculate the average speed of the whol travel using the following formula:

Now, substituting and calculating, we have:


Hence, we have the average speed of the whole travel is equal to 400 mph.
Have a nice day!
Answer:
The dog is moving at a constant speed
Explanation:
Given that,
Position : 5, 10, 15, 20, 25
Time = 5. 10, 15, 20, 25
We need to draw a position time graph
Using given data
A graph of position and time shows the speed.
According to graph,
The graph indicates that the dog is moving at a constant speed because the graph is straight line.
Hence, The dog is moving at a constant speed