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
ElenaW [278]
3 years ago
6

A lawn roller in the form of a thin-walled, hollow cylinder with mass M is pulled horizontally with a constant horizontal force

F applied by a handle attached to the axle. If it rolls without slipping, find the acceleration and the friction force.
Physics
1 answer:
olga nikolaevna [1]3 years ago
6 0

Answer:

a_{cm}=\frac{F}{2M}\\\\F_{fr}=\frac{F}{2}

Explanation:

Given the mass as M, the rotational inertia of the mower is;

I_{cm}=MR^2

-The roller doesn't slip while rolling;

v_{cm}=wR, a_{cm}=\alpha R

\sum F_x=Ma_x, -F+F_{fr}=-Ma_{cm}\\\\a_{cm}=\frac{F-Fr}{M}    \ \ \ \ \ \ \ \ eqtn1\\\\\sum \tau_{cm}=I_{cm}\alpha, F_{fr}(R)}=(MR^2)(\frac{a_{cm}}{R}), ->F_{fr}=Ma_c_m\ \ \  \ \ \ \ eqtn2\\\\a_{cm}=\frac{F-Ma_{cm}}{M}, ->F=2Ma_{cm}\\\\a_{cm}=\frac{F}{2M}\\\\\\\therefore F_{fr}=M(\frac{F}{2M})\\\\F_{fr}=\frac{F}{2}

You might be interested in
If a person is throwing darts at a target in shoots three in a row in the same spot on the 20 section outer ring, but none in th
Harman [31]
2)precise,not accurate
8 0
3 years ago
Read 2 more answers
An electron passes location < 0.02, 0.04, -0.06 > m and 5 us later is detected at location < 0.02, 1.62,-0.79 > m (1
hram777 [196]

Answer:

(a)

Average velocity = < 0, 316000, 146000> m/s

(b) < 0, 2.844, 1.314 > m

Explanation:

r1 = < 0.02, 0.04, - 0.06 > m

r2 = < 0.02, 1.62, - 0.79 > m

time, t = 5 micro second = 5 x 10^-6 s

(a) Average velocity is defined as the ratio of total displacement to the total time taken.

Displacement = r = r2 - r1

r = < 0.02 - 0.02, 1.62 - 0.04, - 0.79 + 0.06 > m

r = < 0, 1.58, - 0.73 > m

So. Average velocity =  \frac{< 0, 1.58, - 0.73 >}{5 \times 10^{-6}}

Average velocity = < 0, 316000, 146000> m/s

Average velocity = < 0, 316000, 146000> m/s

(b)

Distance = velocity x time

Here time, t = 9 micro second

d =  < 0, 316000, 146000>  x 9 x 10^-6 m

d = < 0, 2.844, 1.314 > m

5 0
3 years ago
Help ASAP PLEASE.............:3​
Evgesh-ka [11]

Answer:

temperature measures heat - the unit is Celsius - and it is measured with a thermometer.

length is measuring how long, tall, or wide something is  - the base unit it metres - and it is measured with a ruler or a metre stick

volume is measuring the quantity of a three dimensional space - the unit is cubic centimetre - you find volume by taking the measurements with a ruler

mass is measuring how much space something takes up/ weight - unit is the gram - you use a scale

8 0
3 years ago
A non-conducting sphere of radius R = 3.0 cm carries a charge Q = 2.0 mC distributed uniformly throughout its volume. At what di
BlackZzzverrR [31]

Answer:

r =3 *\sqrt{2} = 4.24 cm

Explanation:

given data

Radius of sphere 3.0 cm

charge Q = 2.0 m C

We know that maximum electric field is given as

E_{MAX}= \frac{KQ}{r^{2}}

electric field inside the sphere can be determine by using below relation

\frac{KQ}{r^{2}}= \frac{1}{2}*\frac{KQ}{R^{2}}

r = \sqrt{2}R

r =3 *\sqrt{2} = 4.24 cm

4 0
3 years ago
Newton believed that time and space are absolute, while Einstein believed that the ______ is absolute.
nadezda [96]

Curve of space time

8 0
3 years ago
Read 2 more answers
Other questions:
  • 2. A body moves with a uniform speed of 1.5 ms-1 for 20 seconds. Find the distance covered by it.
    9·1 answer
  • Which is the best example of Newton’s SECOND law of motion:
    7·1 answer
  • If a freely falling object were somehow equipped with a speedometer, its speed
    7·1 answer
  • Atmospheric pressure is reported in a variety of units depending on local meteorological preferences. In many European countries
    9·1 answer
  • What travels on a wave
    11·1 answer
  • ¿Cuál es el valor de la sumatoria de todas las fuerzas que actúan sobre un cuerpo que está en equilibrio?
    12·1 answer
  • Collision Lab
    10·2 answers
  • Suppose a cat climbs a tree to a height of 2 meters. If the cat doubles its height to 4 meters, its potential energy will
    5·1 answer
  • A force of 6.0 N gives a 2.0 kg block an acceleration of 3.0
    15·1 answer
  • A car, initially traveling at 81.8 mi/h, slows to rest in 7.1 s. What is the car's acceleration?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!