answer.
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
Sliva [168]
2 years ago
9

A 2.10 kg textbook rests on a frictionless, horizontal surface. A cord attached to the book passes over a pulley whose diameter

is 0.170 m, to a hanging book with mass 3.00 kg. The system is released from rest, and the books are observed to move 1.20 m in 0.900 s.(a) What is the tension in each part of the cord? (b) What is the moment of inertia of the pulley about its rotation axis?

Physics
1 answer:
AVprozaik [17]2 years ago
4 0

Answer:

Explanation:

Answer:

Explanation:

mass of book, m = 2.10 kg

diameter of pulley, = 0.170 m

radius of pulley, R = 0.085 m

mass of hanging book, m' = 3 kg

initial velocity, u = 0 m/s

distance, s = 1.2 m

time, t = 0.9 s

Let a be the acceleration of the system and T and T' is the tension in the string which is horizontal and vertical respectively.

Use second equation of motion

s = ut + 0.5 at²

1.2 = 0 + 0.5 x a x 0.9 x 0.9

a = 2.96 m/s²

(a) Use second equation of motion

T = ma

T = 2.10 x 2.96

T = 6.216 N

m'g - T' = m'a

3 x 9.8 - T' = 3 x 2.96

T' = 20.52 N

(b) Let the moment of inertia of the pulley is I.

So, (T' - T)R = I x α

(20.52 - 6.216) x 0.085 = I x 2.96 / 0.085

I = 0.035 Kgm²

You might be interested in
Determine the sign (+ or −) of the torque about the elbow caused by the biceps, τbiceps, the sign of the weight of the forearm,
Alex Ar [27]
Ans: 
1.  τbiceps = +(Positive)
2.  τforearm = -(Negative)
3.  τball = -(Negative)

Explanation:

The figure is attached down below.

1. T<span>orque about the elbow caused by the biceps, τbiceps:
Since Torque = r x F (where r and F are the vectors)
</span>Where r is the vector from elbow to the biceps.
<span>
We can see in the figure that F(biceps) is in upward direction, and by applying the right hand rule from r to F, we get the counterclockwise direction. The torque in counterclockwise direction is positive(+). Therefore, the sign would be +.

2. </span>Torque about the the weight of the forearm, τforearm:
Since Torque = r x F (where r and F are the vectors)
Where r is the vector from elbow to the forearm.

Also weight is the special kind of Force caused by the gravity.

We can see in the figure that W(forearm) is in downward direction, and by applying the right hand rule from r to F, we get the clockwise direction. The torque in clockwise direction is negative(-). Therefore, the sign would be -.

3. Torque about the the weight of the ball, τball:
Since Torque = r x F (where r and F are the vectors)
Where r is the vector from elbow to the ball.

Also weight is the special kind of Force caused by the gravity.

We can see in the figure that W(ball) is in downward direction, and by applying the right hand rule from r to F, we get the clockwise direction. The torque in clockwise direction is negative(-). Therefore, the sign would be -.

8 0
2 years ago
A coworker did not clean his work area before going home this could cause an accident so you quickly clean up the next day you s
defon

Answer:

THE FIRST ONE YOU SHOULD TELL HIM AND THE LAST ONE YOU SHOUDENT DO BECAUSE HE WILL DO IT AGAIN AND EXPECT OTHERS TO CLEAN UP AFTER HIM

Explanation:

5 0
2 years ago
Read 2 more answers
While you are studying for an upcoming physics exam, a lightning storm is brewing outside your window. Suddenly, you see a tree
vovikov84 [41]
Blahbsnansjsjsjsisisisisiskskssk
7 0
2 years ago
You want to examine the hairy details of your favorite pet caterpillar, using a lens of focal length 8.9 cm 8.9 cm that you just
Zepler [3.9K]

Answer:

The angular magnification is M = 2.808

Explanation:

From the question we are told

           The focal length is  f = 8.9cm

          The near point is n_p = 25.0cm

The angular magnification is mathematically represented as

                          M = \frac{n_p}{f}

Substituting values

                        M = \frac{25}{8.9}

                           = 2.808

4 0
2 years ago
To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. T
podryga [215]

Answer:

The wire meet the ground at an angle of 56.4 degrees

Explanation:

It is given that,

To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground.

The hypotenuse is, H = 12 foot

The perpendicular distance is, P = 10 feet

The angle between the tree and the ground is 90 degrees

Using Pythagoras theorem as :

sin\theta=\dfrac{P}{H}

sin\theta=\dfrac{10}{12}

\theta=56.4^{\circ}

So, the wire meet the ground at an angle of 56.4 degrees. Hence, the correct option is (d).                                                    

6 0
2 years ago
Other questions:
  • The sun produces 3.826 x 1026 Joules of energy every second as it combines smaller hydrogen atoms into larger helium atoms. What
    7·1 answer
  • Will two separate 50db sounds together constitute a 100db sound explain mathematical
    13·1 answer
  • What is the average acceleration of a car that is initially at rest at a stoplight and then accelerates to 24 m/s in 9.4 s?
    15·2 answers
  • Trace fossils are recognized as evidence of which pre-existing life? plants plants and animals neither plants nor animals animal
    11·2 answers
  • An airplane is delivering food to a small island. It flies 100 m above the ground at a speed of 150 m/s .
    6·1 answer
  • According to Faraday's law, a coil in a strong magnetic field must have a greater induced emf in it than a coil in a weak magnet
    9·1 answer
  • Subatomic particles that do not possess any charge but provide mass to atoms are called
    15·1 answer
  • Wile E. Coyote wants to launch Roadrunner into the air using a long lever asshown below. The lever starts at rest before the Coy
    5·1 answer
  • (b) If the straight-line distance from her home to the university is 10.3 km in a direction 25.0° south of east, what was her av
    9·1 answer
  • When 999mm is added to 100m ______ is the result​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!