1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erastovalidia [21]
3 years ago
8

Additional Problem: A simple pendulum, consisting of a string (of negligible mass) of length L with a small mass m at the end, i

s initially held horizontal (θ = 90o) and then released. (a) What is the maximum velocity that the mass attains after release? (b) At what angle, θm, is the power delivered to the ball by gravity a maximum as the pendulum swings down? Take θ = 0 when the pendulum is vertical.
Physics
1 answer:
kykrilka [37]3 years ago
5 0

Answer:

a)   v = √ 2gL  abd  b)  θ = 45º

Explanation:

a) for this part we use the law of conservation of energy,

Highest starting point

       Em₀ = U = mg h

Final point. Lower

       Em₂ = ½ m v²

      Em₀ = Em₂

      m g h = ½ m v²

      v = √2g h

      v = √ 2gL

b) the definition of power is the relationship between work and time, but work is the product of force by displacement

     P = W / t = F. d ​​/ t = F. v

If we use Newton's second law, with one axis of the tangential reference system to the trajectory and the other perpendicular, in the direction of the rope, the only force we have to break down is the weight

     sin θ = Wt / W

     Wt = W sin θ

This force is parallel to the movement and also to the speed, whereby the scalar product is reduced to the ordinary product

     P = F v

The equation that describes the pendulum's motion is

    θ = θ₀ cos (wt)

Let's replace

    P = (W sin θ) θ₀ cos (wt)

    P = W θ₀ sint θ cos (wt)

We use the equation of rotational kinematics

    θ = wt

    P = Wθ₀ sin θ cos θ

Let's use

   sin 2θ = 2 sin θ cos θ

   P = Wθ₀/2 sin 2θ

This expression is maximum when the sine has a value of one (sin 2θ = 1), which occurs for 90º,

    2θ = 90

    θ = 45º

You might be interested in
Ira is concerned about his posture. He tests it by seeing how long he can hold good posture and finds that he feels the most dis
larisa [96]

Answer: C

Explanation:

JUST TO SIMPLE

6 0
3 years ago
Converting 67 m•s¹ to km•h¹​
IrinaVladis [17]

Answer:

Hola como estás ehord as ve hi5 ido

zdry8wygf

fje di oo0008t aquí 1gvu txdc

5 0
2 years ago
Over the past 150 years, what has happened to the amount of forest cover in Minnesota?
Airida [17]
I think D. None of the above

I think that it
4 0
3 years ago
A force of 5 N is applied to the end of a lever that has a length
Klio2033 [76]

Answer:

The answer is 10Nm

Explanation: I ended up just messing around with the numbers, I multiplied 5 and 2 got 10 as my answer and it was right.

4 0
3 years ago
Which word in the sentence is a gerund?
OleMash [197]
A gerund usually ends wit -ing, so we must find the word that includes that.

Loading includes ing at the end.

Final answer: b. loading
8 0
3 years ago
Read 2 more answers
Other questions:
  • Which of Newton's Laws explains why satellites need very little fuel to stay in orbit?
    6·1 answer
  • LOOK AT ATTACHMENT AND ANSWER QUESTION!
    7·2 answers
  • A student of mass 63.4 kg, starting at rest, slides down a slide 21.2 m long, tilted at an angle of 26.1° with respect to thehor
    11·1 answer
  • A 27.4 kg dog is running northward at 2.19 m/s , while a 7.19 kg cat is running eastward at 2.78 m/s . Their 75.7 kg owner has t
    10·1 answer
  • Please answer the following question
    7·2 answers
  • why the result of the CELL CYCLE is important? Give 3 examples no copy and paste from google or any website please help!
    6·1 answer
  • Introduction for Home economics project​
    12·2 answers
  • Class 11th physics the charge of positive 7 microcoulomb is placed at the centre of two concentric sphere with radius 2cm and 4c
    6·1 answer
  • Upon inspiration, what is the name of the air in the conducting zone that is not available for gas exchange?.
    10·1 answer
  • F. If heat could flow to the container, how would the final temperature be affected?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!