static equilibrium

Problem 361 | Equilibrium of Non-Concurrent Force System

Problem 361
Referring to Problem 359, if T = 30 kN and x = 1 m, determine the angle θ at which the bar will be inclined to the horizontal when it is in a position of equilibrium.
 

Rigid bar resting on smooth inclined surface

 

Problem 360 | Equilibrium of Non-Concurrent Force System

Problem 360
Referring to Problem 359, what value of T acting at x = 1 m from B will keep the bar horizontal.
 

Rigid bar resting on smooth inclined surface

Problem 359 | Equilibrium of Non-Concurrent Force System

Problem 359
A 4-m bar of negligible weight rests in a horizontal position on the smooth planes shown in Fig. P-359. Compute the distance x at which load T = 10 kN should be placed from point B to keep the bar horizontal.
 

Rigid bar resting on smooth inclined surface

 

Problem 358 | Equilibrium of Non-Concurrent Force System

Problem 358
A bar AE is in equilibrium under the action of the five forces shown in Fig. P-358. Determine P, R, and T.
 

Bar in Equilibrium

 

Problem 347 | Equilibrium of Non-Concurrent Force System

Problem 347
Repeat Problem 346 if the cable pulls the boom AB into a position at which it is inclined at 30° above the horizontal. The loads remain vertical.
 

Cable and boom structure

 

Problem 346 | Equilibrium of Non-Concurrent Force System

Problem 346
A boom AB is supported in a horizontal position by a hinge A and a cable which runs from C over a small pulley at D as shown in Fig. P-346. Compute the tension T in the cable and the horizontal and vertical components of the reaction at A. Neglect the size of the pulley at D.
 

Cable and boom structure

 

Equilibrium of Non-Concurrent Force System

There are three equilibrium conditions that can be used for non-concurrent, non-parallel force system.
 

The sum of all forces in the x-direction or horizontal is zero.

$\Sigma F_x = 0$   or   $\Sigma F_H = 0$

 

Equilibrium of Parallel Force System

Conditions for Equilibrium of Parallel Forces
The sum of all the forces is zero.

$\Sigma F = 0$

 

The sum of moment at any point O is zero.

$\Sigma M_O = 0$

 

Problem 339 | Equilibrium of Parallel Force System

Problem 339
The differential chain hoist shown in Fig. P-339 consists of two concentric pulleys rigidly fastened together. The pulleys form two sprockets for an endless chain looped over them in two loops. In one loop is mounted a movable pulley supporting a load W. Neglecting friction, determine the maximum load W that can just be raised by a pull P supplied as shown.
 

Differential Chain Hoist

 

Problem 329 | Equilibrium of Force System

Problem 329
Two cylinders A and B, weighing 100 lb and 200 lb respectively, are connected by a rigid rod curved parallel to the smooth cylindrical surface shown in Fig. P-329. Determine the angles α and β that define the position of equilibrium.
 

Two cylinders mounting on the surface of large cylinder

 

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