1800-150-456-789
FlagBACK
Flag Mechanics> Uniform rope of mass M and length L is pl...
question mark

Uniform rope of mass M and length L is placed on a smooth horizontal surface. A horizontal force F is acting at one end of rope.calculate the tension in the rope at a distance x

Chethan , 7 Years ago
Grade 11
anser 1 Answers
Arun

Last Activity: 7 Years ago

Let the size of Force applied by the segment of the rope to one side of position x be F(x)F, and F(x+dx) be the greatness of the drive applied by the rope to one side of position (x+dx). At that point, the net drive following up on component dxof the rope is F(x)−F(x+dx), which by Newton`s second law of movement is equivalent to M/LdxF/M, i.e., F(x)−F(x+dx)=MLdxFM or( F(x+dx)−F(x))/dx=−M/LF/M=−F/L So, we have dF/dx=−F/LdF/dx=−F/L, or F(x)=−F/Lx+F(x)=−F/Lx+constant. The consistent is assessed by utilizing the way that at x=0x=0, F(x)=F, the connected constrain. In this way, the drive following up on the rope at a separation x from the end where the constrain FF is connected is :F(x)=−F/Lx+F=F(1−x/L).

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on mechanics

question mark
A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mmat the free end, where a small mass of 2 g is positioned. determine(i) The velocity of the end when passing through the zero position(ii) The acceleration at maximum displacement(iii) The maximum kinetic energy of the mass
mechanics
2 Answers Available

Last Activity: 2 Years ago

question mark
An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical spring of springconstant kH = 85 N/m, see Fig.1. The effect of the fluid resistance is governed by thedamping constant b = 0.07kg/s.(i) Find the period of the damped oscillation.(ii) By what percentage does the amplitude of the oscillation decrease in each cycle?
mechanics
1 Answer Available

Last Activity: 2 Years ago

question mark
If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0
mechanics
1 Answer Available

Last Activity: 2 Years ago

question mark
A particle is traveling in a circle of radius R =2.5m and with an angular velocity of 10 rad/s. What is the centripetal acceleration of the particle? The particle begins to slow down with an angular acceleration of -1 rad/s2. After 5 seconds, what is the centripetal acceleration and the tangential acceleration fo the particle?
mechanics
1 Answer Available

Last Activity: 2 Years ago

question mark
If the acceleration of block A is 5 m/s^2Find the acceleration of block B
mechanics
1 Answer Available

Last Activity: 2 Years ago