force polygon

Rectilinear Translation - Moving Vessel

Horizontal Motion
If a mass of fluid moves horizontally along a straight line at constant acceleration a, the liquid surface assume an angle θ with the horizontal, see figure below.
 

007-fluid-mass-horizontal-motion.gif

 

Problem 525 | Friction

Problem 525
A uniform ladder 4.8 m ft long and weighing W lb is placed with one end on the ground and the other against a vertical wall. The angle of friction at all contact surfaces is 20°. Find the minimum value of the angle θ at which the ladder can be inclined with the horizontal before slipping occurs.
 

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 351 | Equilibrium of Non-Concurrent Force System

Problem 351
The beam shown in Fig. P-351 is supported by a hinge at A and a roller on a 1 to 2 slope at B. Determine the resultant reactions at A and B.
 

Beam with roller support on a slope

 

Problem 323 | Equilibrium of Force System

Problem 323
The truss shown in Fig. P-323 is supported by a hinge at A and a roller at B. A load of 20 kN is applied at C. Determine the reactions at A and B.
 

Truss of unlevel supports

 

Problem 322 | Equilibrium of Force System

Problem 322
The Fink truss shown in Fig. P-322 is supported by a roller at A and a hinge at B. The given loads are normal to the inclined member. Determine the reactions at A and B. Hint: Replace the loads by their resultant.
 

Fink truss with windloads

 

Problem 316 | Equilibrium of Concurrent Force System

Problem 316
Determine the values of α and θ so that the forces shown in Fig. P-316 will be in equilibrium.
 

316-given-concurrent-forces.gif

 

Problem 315 | Equilibrium of Concurrent Force System

Problem 315
The 300-lb force and the 400-lb force shown in Fig. P-315 are to be held in equilibrium by a third force F acting at an unknown angle θ with the horizontal. Determine the values of F and θ.
 

315-given-figure.gif

 

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