Auniform 40.0-kg scaffold of length 6.0 m is supported by two light cables, as shown below. an 80.0-kg painter stands 1.0 m from the left end of the scaffold, and his painting equipment is 1.5 m from the right end. if the tension in the left cable is twice that in the right cable, find the tensions in the cables and the mass of the equipment.

Tensions in the left and right ends are:

and mass of painting equipment is .

Explanation:

Given: A uniform scaffold of length is supported by two light cables, as shown below. an painter stands from the left end of the scaffold, and his painting equipment is from the right end.

So, finding the torque on the left and right side:

and

As given that Tension in left end is twice that of right end:

Here, mass of the painting equipment is .

Hence, tensions in the left and right ends are:

Learn more about tension here:

link

Here we can say that since the scaffold is horizontal so we must have to use torque balance

So here we can say about left end point we will have

now torque about right end

now we know that tension in left is twice that of right

so now we will have

so mass of the equipment is 16 kg

now tensions are

double the distance = divide strength by 4

luster is not a good characteristic to use by itself because luster is the property of minerals that indicates how much the surface of a mineral reflects light. the luster of a mineral is affected by the brilliance of the light used to observe the mineral surface.