Calculating the tension of a rope that is attached to a block

A uniform rope of mass m and length l is attached to a block of mass M. The rope is pulled with force, F. Find the tension at distance x from the end of the rope. Neglect gravity.

Solution Preview

Consider a tiny differential portion of the rope of length dx, its mass is given by (m dx/l) and the forces acting on it are the tension of the nearby points on the rope, that is:
<br>T(x)-T(x+dx)
<br>Using Newton's 2nd law and ...

... the sum of forces, due to the tensions in each ... T1 = 100 pounds, since the tension in rope 1 is ... We show how to calculate tension in ropes for given systems of ...

... The tension of the rope results in a torque on the pulley = Tension x Radius of ... d) We can calculate the time taken by the block to reach the ground using the ...

... is no mention of friction in pulleys thus we consider it negligible and hence the tension in the rope is same ... (a) Here the work done is calculated in two ...

... a) Tension in the rope being pulled = Applied force F. ... force acting on it is equal to the tension in the string T. Its acceleration is same as calculated above. ...

... a curve, making work a little more challenging to calculate. ... you are provided the hint about the tension, you can ... Here, we've already calculated the two forces ...

... An average efficacy score was calculated by summing ... and Partingtons' （ 1996） study of rope- pulling ... to complex individual and social tensions and resolutions ...

Calculating Angles to Solve Problems. ... How much is the tension in the rope(to two decimal places) between the masses during the acceleration? 4a. ...

... to the incline and has a tension of 145 ... Just substitutes the equations and calculate the values ... Fapplied Empirical Method for Calculating Coefficient of Static ...

... for spring stiffness, and uses energy law to calculate total energy. ... g, a length of 2 m, and a tension of 48 ... pattern for the fourth harmonic of a rope fixed at ...

...Calculate the magnitude of the force that the tow bar exerts on the skier. ... each are fastened to the ceiling of an elevator Find the tension in the top rope. ...