One end of a post weighing 400 Nand with height h rests on a roughhorizontal surface with ms = 0.30.The upper end is held by a ropefastened to the surface and makingan angle of 36.9° with the post. A horizontal force F isexerted on the post as shown. (a) Ifthe force F S is applied at the midpointof the post, what is the largest value it can have without causing the postto slip? (b) How large can the force be without causing the post to slip ifits point of application is 6/10 of the way from the ground to the top of thepost? (c) Show that if the point of application of the force is too high,the post cannot be made to slip, no matter how great the force. Find thecritical height for the point of application.
Plane Trusses
It is defined as, two or more elements like beams or any two or more force members, which when assembled together, behaves like a complete structure or as a single structure. They generally consist of two force member which means any component structure where the force is applied only at two points. The point of contact of joints of truss are known as nodes. They are generally made up of triangular patterns. Nodes are the points where all the external forces and the reactionary forces due to them act and shows whether the force is tensile or compressive. There are various characteristics of trusses and are characterized as Simple truss, planar truss or the Space Frame truss.
Equilibrium Equations
If a body is said to be at rest or moving with a uniform velocity, the body is in equilibrium condition. This means that all the forces are balanced in the body. It can be understood with the help of Newton's first law of motion which states that the resultant force on a system is null, where the system remains to be at rest or moves at uniform motion. It is when the rate of the forward reaction is equal to the rate of the backward reaction.
Force Systems
When a body comes in interaction with other bodies, they exert various forces on each other. Any system is under the influence of some kind of force. For example, laptop kept on table exerts force on the table and table exerts equal force on it, hence the system is in balance or equilibrium. When two or more materials interact then more than one force act at a time, hence it is called as force systems.
One end of a post weighing 400 N
and with height h rests on a rough
horizontal surface with ms = 0.30.
The upper end is held by a rope
fastened to the surface and making
an angle of 36.9° with the post
. A horizontal force F is
exerted on the post as shown. (a) If
the force F S is applied at the midpoint
of the post, what is the largest value it can have without causing the post
to slip? (b) How large can the force be without causing the post to slip if
its point of application is 6/10 of the way from the ground to the top of the
post? (c) Show that if the point of application of the force is too high,
the post cannot be made to slip, no matter how great the force. Find the
critical height for the point of application.
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 3 images