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
faltersainse [42]
3 years ago
13

A slender rod of length L has a varying mass-per-unit-length from the left end (x=0) according to dm/dx=Cx where C has units kg/

m2. Find the total mass in terms of C and L, and then calculate the moment of inertia of the rod for an axis at the left end note: you need the total mass in order to get the answer in terms of ML^2

Physics
1 answer:
arlik [135]3 years ago
7 0

Answer:

ML²/6

Explanation:

Pls see attached file

You might be interested in
A fluid moves through a tube of length 1 meter and radius r=0.002±0.0002 meters under a pressure p=4⋅105±1750 pascals, at a rate
yaroslaw [1]

Answer:

The  maximum error is  \Delta  \eta  = 2032.9

Explanation:

From the question we are told that

     The length  is  l  =  1\ m

      The radius is  r =  0.002 \pm  0.0002 \ m

        The pressure is  P  =  4 *10^{5} \ \pm 1750

        The  rate  is  v =  0.5*10^{-9} \ m^3 /t

       The viscosity is  \eta  =  \frac{\pi}{8} * \frac{P *  r^4}{v}

The error in the viscosity is mathematically represented  as

       \Delta  \eta  = | \frac{\delta \eta}{\delta P}| *  \Delta  P   +    |\frac{\delta \eta}{\delta r} |*  \Delta  r +  |\frac{\delta \eta}{\delta v} |*  \Delta  v

   Where  \frac{\delta \eta }{\delta P} =  \frac{\pi}{8} *  \frac{r^4}{v}

and         \frac{\delta \eta }{\delta r} =  \frac{\pi}{8} *  \frac{4* Pr^3}{v}

and          \frac{\delta \eta }{\delta v} =  - \frac{\pi}{8} *  \frac{Pr^4}{v^2}

So  

             \Delta  \eta  = \frac{\pi}{8} [ |\frac{r^4}{v}  | *  \Delta  P   +    | \frac{4 *  P * r^3}{v}  |*  \Delta  r +  |-\frac{P* r^4}{v^2}  |*  \Delta  v]

substituting values

            \Delta  \eta  = \frac{\pi}{8} [ |\frac{(0.002)^4}{0.5*10^{-9}}  | *  1750   +    | \frac{4 *  4 *10^{5} * (0.002)^3}{0.5*10^{-9}}  |*  0.0002 +  |-\frac{ 4*10^{5}* (0.002)^4}{(0.5*10^{-9})^2}  |*  0 ]

  \Delta  \eta  = \frac{\pi}{8} [56  +  5120 ]

   \Delta  \eta  = 647 \pi

    \Delta  \eta  = 2032.9

4 0
3 years ago
What is torque in physics ?
irina [24]

Answer:

Torque is a measure of the force that can cause an object to rotate about an axis.

8 0
3 years ago
Read 2 more answers
A 48-kg woman pushes a 12-kg grocery cart with a force of 24 N. What is the magnitude of the force that the grocery cart exerts
Nata [24]

The correct answer is B. 24 N.

To figure out the exact force the cart exerts on the woman, we have to use Newton's third law of motion.  Newton's third law of motion states that every action has an equal and opposite reaction. This means that if object  1 exerts a force on object 2 , object 2 will exert an equal but opposite force on object 1.

This law allows us to ignore the masses of the chart and the women and focus on the  pairs of forces the woman and the chart apply to each other.  Since the woman exerts a force of 24 N on the chart, the chart will exert a force of 24 N on the woman.

The correct answer is B. 24 N.

4 0
3 years ago
Which statement best reflects the approach of Gestalt psychology?
GarryVolchara [31]
Gestalt psychology is a a theory of mind of the Berlin School of experimental psychology. It tries to understand the laws of our ability to acquire and maintain meaningful perceptions in an apparently chaotic world. It proposes that the whole of an object or scene is more important than its individual parts.
3 0
2 years ago
Read 2 more answers
Which describes freefall
Sati [7]
A motion where gravity is the only force acting upon it
6 0
3 years ago
Other questions:
  • A car travelling at 40 m/s comes to a halt in 8 seconds. What is the car’s acceleration and how far does it travel while it is s
    11·1 answer
  • The velocity of waves in a ripple tank is 20 centimeters per second, and standing waves are produced with nodes spaced 3.0 centi
    8·1 answer
  • Explain how you calculate the speed of a wave
    11·1 answer
  • Why would scientists call solids and liquids a condensed phase of matter?
    8·1 answer
  • How is mercury barometer constructed ?<br>​
    15·1 answer
  • A cell phone charger operates at 5 volts and can deliver a maximum current of 1.0 Amp. If your cell phone has an energy storage
    8·1 answer
  • 11 1 point
    14·1 answer
  • When viewing a piece of art that is behind glass, one often is affected by the light that is reflected off the front of the glas
    7·1 answer
  • Please help me i’ll mark u branliest !!
    8·1 answer
  • How do you fix a broken foot
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!