Problem #$1)$

A portable ladder is needed to climb onto a rooftop $14$ feet high. As mentioned in class, the horizontal distance between the base of the ladder and the vertical wall should be $\frac{1}{4}$ the working distance of the ladder.

$($a$)$ How long should the ladder be$?$

$($b$)$ where is the relationship between working length and horizontal spacing specified in the OSHA $1910$ standards? $($Be specific$)$

Problem #$2)$

When would OSHA require guarding for a service pit for use in vehicle maintenance? Where is this referenced in the $1910$ standards? Be specific.

Problem #$3)$

Explain the difference between a handrail and a guardrail as used in $1910\mathrm{.}29.$

Problem #$4)$

A fixed stairway is to be constructed between two floors of a building. The distance between floors $($surface to surface$),$ is $140in.$ Using OSHA stairs criteria for a $45$ slope, determine:

$($a$)$ how many steps are needed.

$($b$)$ the depth of each tread and the height of each riser.

$($c$)$ What the OSHA permissible maximum and minimum slope is for stairs?

Problem #$5)$

A worker is struck by a $30-$in$.$ long piece of pipe weighing $1\mathrm{.}92lb./$ft$.$ The pipe fell out of an overflowing trash can from a platform at a level $70ft.$ above the worker's head.

$($a$)$ what was the velocity of the pipe when it struck the worker?

$($b$)$ what was the kinetic energy of the pipe at the point of impact?

Problem #$6)$

While walking on a level surface, a person exerts a force, $F,$ of $100lb$ from the hip joint to the shoe of the forward foot just at the time the forward foot is planted fully. Assume the leg forms an angle of $15$ with the vertical. What coefficient of friction is required to prevent the shoe form slipping on the floor?

Problem #$7)$

A hemispherical plastic skylight is located on a roof directly adjacent to a work surface for air conditioning equipment. The skylight is not designated to carry the weight of a person. The work surface is about $44in.$ above the skylight and there are no access steps to it$.$ What forms of protection would protect a worker who might

$($a$)$ fall from the platform onto the skylight?

$($b$)$ step on the skylight as a means to get onto the platform?

$($c$)$ Where is this referenced in the $1910$ standards?