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
aksik [14]
3 years ago
10

A rope of negligible mass passes over a uniform cylindrical pulley of 1.50kg massand 0.090m radius. The bearings of the pulley h

ave negligible friction, and the rope does not slip on the pulley. On one end of the rope hangs a 3.00kg bunch of bananas, and on the other end hangs a 4.50kg monkey. Calculate the downward acceleration of the monkey and the tension in both ends of the rope.
Physics
1 answer:
boyakko [2]3 years ago
4 0

Answer:

Explanation:

mass of pulley, m3 = 1.5 kg

Radius of pulley, R = 0.09 m

mass of monkey, m2 = 4.5 kg

mass of banana bunch, m1 = 3 kg

Let a is teh acceleration ans T1 and T2 be the tension in the rope.

The moment of inertia of the pulley

I = 0.5 x m3 x R² = 0.5 x 1.5 x 0.09 x 0.09 = 0.006075 kgm²

According to Newton's second law

T1 - m1 g = m1 x a .... (1)

m2 g - T2 = m2 x a ..... (2)

(T2 - T1 ) x R = I x α    

where, α is the angular acceleration

α = a / R

(T2 - T1)R = 0.5 x m3 x R² x a / R

T2 - T1 = 0.5 x m3 x a ..... (3)  

from (1), (2) and (3)

a = \frac{m_{2}-m_{1}}{m_{1}+m_{2}+\frac{m_{3}}{2}}\times g

a = \frac{4.5-3}{3+4.5+0.75}\times 9.8

a = 1.78 m/s²

from equation (1)

T1 = m1 ( g + a) = 3 ( 9.8 + 1.78) = 34.77 N

from equation (2)

T2 = m2 (g - a) = 4.5 (9.8 - 1.78) = 36.13 N

You might be interested in
When a rope is wrapped around a wheel (or pulley) and pulled, the lever arm is the ________ Blank 1 of the wheel and the angle b
m_a_m_a [10]

Answer:

the DISTANCE between the lever arm and the force is always 90º

Explanation:

In this exercise, you are asked to complete the missing words so that the phrase makes sense.

note that the torque is

              τ = F x r

where bold indicates vectors

When the rope is pulled, the DISTANCE between the lever arm and the force is always 90º

3 0
3 years ago
what is the force that opposes the movement of two surfaces that are in contact and are sliding over each other? and it is not f
SCORPION-xisa [38]

Answer:

Friction

Explanation: is the force that opposes motion between any surfaces that are in contact. There are four types of friction: static, sliding, rolling, and fluid friction. Static friction acts on objects when they are resting on a surface.Nov 3, 2021

7 0
2 years ago
Read 2 more answers
A graduated beaker with 375 mL of water is sitting on a scale which measures the weight of the glass and water to be 7.60 N. Whe
Allisa [31]

Answer:

Volume of water displaced = 450 - 375 = 75 ml

Vr = volume of rock = 75 ml

Wr = 9.22 - 7.60 = 1.62 N  weight of 75 ml of rock

Density of rock = 1.62 N / 75 ml = .0216 N / ml

Density of water = 1000 g / 1000 ml = 9.8 N / 1000 ml = .0098 N / ml

Density of rock / density of water = .0216 / .0098 = 2.20

8 0
3 years ago
What is the soil fabric?
inessss [21]

Answer:

The term soil fabric refers to the geometrical arrangement of individual particles in a soil, including the geometrical distribution of pore spaces. Soil fabric may be used to describe the particle arrangement in both cohesive soils such as clays and granular soils such as silts, sands, and gravels.

5 0
2 years ago
Why are units of measurement useful?
Zanzabum

Without the ability to measure, it would be difficult for scientists to conduct experiments or form theories. Not only is measurement important in science and the chemical industry, it is also essential in farming, engineering, construction, manufacturing, commerce, and numerous other occupations and activities.

5 0
3 years ago
Read 2 more answers
Other questions:
  • 1.When I cook an egg in a microwave oven, the device uses electromagnetic energy to increase the kinetic energy of particles of
    9·1 answer
  • A roofing shingle elevator is lifting a 30.0-kg package to the top of a building at constant speed. The angle between the elevat
    10·1 answer
  • Relationship between prism and lens ​
    13·1 answer
  • Monday Homework Problem 10.6 A simple generator is constructed by rotating a flat coil in a uniform magnetic field. Suppose we r
    6·1 answer
  • The back shelf of a car has a physics textbook on it. The coefficient of static friction of 0.44 between the book and the surfac
    11·1 answer
  • A car starts from rest and accelerates with a constant acceleration of 5 m/s2 for 4 s. The car continues for 18 s at constant ve
    9·1 answer
  • Balance the following chemical equations
    14·1 answer
  • Being overweight or obese increases the risk of:
    14·2 answers
  • PLEASE HELP!! WILL MARK BRAINLEST!!! What are 3 types of waves?
    14·1 answer
  • Find the x-component of this
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!