Consider a person holding a mass on a rope, as shown in
[link] . If the 5.00-kg mass in the figure is stationary, then its acceleration is zero and the net force is zero. The only external forces acting on the mass are its weight and the tension supplied by the rope. Thus,

${F}_{\text{net}}=T-w=0,$

where
T and
w are the magnitudes of the tension and weight, respectively, and their signs indicate direction, with up being positive. As we proved using Newton’s second law, the tension equals the weight of the supported mass:

$T=w=mg.$

Thus, for a 5.00-kg mass (neglecting the mass of the rope), we see that

If we cut the rope and insert a spring, the spring would extend a length corresponding to a force of 49.0 N, providing a direct observation and measure of the tension force in the rope.

Flexible connectors are often used to transmit forces around corners, such as in a hospital traction system, a tendon, or a bicycle brake cable. If there is no friction, the tension transmission is undiminished; only its direction changes, and it is always parallel to the flexible connector, as shown in
[link] .

What is the tension in a tightrope?

Calculate the tension in the wire supporting the 70.0-kg tightrope walker shown in
[link] .

Strategy

As you can see in
[link] , the wire is bent under the person’s weight. Thus, the tension on either side of the person has an upward component that can support his weight. As usual, forces are vectors represented pictorially by arrows that have the same direction as the forces and lengths proportional to their magnitudes. The system is the tightrope walker, and the only external forces acting on him are his weight
$\overrightarrow{w}$ and the two tensions
${\overrightarrow{T}}_{\text{L}}$ (left tension) and
${\overrightarrow{T}}_{\text{R}}$ (right tension). It is reasonable to neglect the weight of the wire. The net external force is zero, because the system is static. We can use trigonometry to find the tensions. One conclusion is possible at the outset—we can see from
[link] (b) that the magnitudes of the tensions
${T}_{\text{L}}$ and
${T}_{\text{R}}$ must be equal. We know this because there is no horizontal acceleration in the rope and the only forces acting to the left and right are
${T}_{\text{L}}$ and
${T}_{\text{R}}$ . Thus, the magnitude of those horizontal components of the forces must be equal so that they cancel each other out.

Questions & Answers

a particle projected from origin moving on x-y plane passes through P & Q having consituents (9,7) , (18,4) respectively.find eq. of trajectry.

bcoz it doesn't satisfy the algabric laws of vectors

Shiekh

The Electric current can be defined as the dot product of the current density and the differential cross-sectional area vector : ... So the electric current is a scalar quantity . Scalars are related to tensors by the fact that a scalar is a tensor of order or rank zero .

*a plane flies with a velocity of 1000km/hr in a direction North60degree east.find it effective velocity in the easterly and northerly direction.*

imam

hello

Lydia

hello Lydia.

Sackson

What is momentum

isijola

hello

Saadaq

A rail way truck of mass 2400kg is hung onto a stationary trunk on a level track and collides with it at 4.7m|s. After collision the two trunk move together with a common speed of 1.2m|s. Calculate the mass of the stationary trunk

principle of superposition allows us to find the electric field on a charge by finding the x and y components

Kidus

Two Masses,m and 2m,approach each along a path at right angles to each other .After collision,they stick together
and move off at 2m/s at angle 37° to the original direction of the mass m. What where the initial speeds of the two particles

MB

2m & m initial velocity 1.8m/s & 4.8m/s respectively,apply conservation of linear momentum in two perpendicular directions.

Shubhrant

A body on circular orbit makes an angular displacement given by teta(t)=2(t)+5(t)+5.if time t is in seconds calculate the angular velocity at t=2s

MB

2+5+0=7sec
differentiate above equation w.r.t
time, as angular velocity is rate of change of angular displacement.

Shubhrant

Ok i got a question I'm not asking how gravity works. I would like to know why gravity works. like why is gravity the way it is. What is the true nature of gravity?

gravity pulls towards a mass...like every object is pulled towards earth

Ashok

An automobile traveling with an initial velocity of 25m/s is accelerated to 35m/s in 6s,the wheel of the automobile is 80cm in diameter. find
* The angular acceleration