Vector Mechanics for Engineers: Statics - Solutions Manual 10th. Edition by Ferdinand Beer, E. Russell Johnston Jr., David Mazurek | Holooly

Mechanics Statics

Vector Mechanics for Engineers: Statics – Solutions Manual [EXP-4663]

482 SOLVED PROBLEMS

A 0.5 × 0.8-m gate AB is located at the bottom of a tank filled with water. The gate is hinged along its top edge A and rests on a frictionless stop at B. Determine the minimum tension required in cable BCD to open the gate.

Verified Answer:

First consider the force of the water on the gate....

A 0.5 × 0.8-m gate AB is located at the bottom of a tank filled with water. The gate is hinged along its top edge A and rests on a frictionless stop at B. Determine the reactions at A and B when cable BCD is slack.

Verified Answer:

First consider the force of the water on the gate....

Question: 4.107

A 10-ft boom is acted upon by the 840-lb force shown. Determine the tension in each cable and the reaction at the ball-and-socket joint at A.

Verified Answer:

We have five unknowns and six equations of equilib...

Question: 2.F8

A 100-kg container is suspended from ring A, to which cables AC and AE are attached. A force P is applied to end F of a third cable that passes over a pulley at B and through ring A and then is attached to a support at D. Draw the free-body diagram needed to determine the magnitude of P. (Hint: The

Verified Answer:

Free-Body Diagram of Ring A:

\begin{aligned...

Question: 4.113

A 100-kg uniform rectangular plate is supported in the position shown by hinges A and B and by cable DCE that passes over a frictionless hook at C. Assuming that the tension is the same in both parts of the cable, determine (a) the tension in the cable, (b) the reactions at A and B. Assume that the

Verified Answer:

\begin{aligned}\mathbf{r}_{B / A}(960-180) ...

Question: 3.95

A 110-N force acting in a vertical plane parallel to the yz-plane is applied to the 220-mm-long horizontal handle AB of a socket wrench. Replace the force with an equivalent forcecouple system at the origin O of the coordinate system.

Verified Answer:

We have

\qquad\Sigma \mathbf{F}: \quad \mat...

Question: 4.108

A 12-m pole supports a horizontal cable CD and is held by a ball and socket at A and two cables BE and BF. Knowing that the tension in cable CD is 14 kN and assuming that CD is parallel to the x-axis (Φ = 0), determine the tension in cables BE and BF and the reaction at A.

Verified Answer:

Free-Body Diagram: There are five unknowns and six...

A 2.4-m boom is held by a ball-and-socket joint at C and by two cables AD and AE. Determine the tension in each cable and the reaction at C.

Verified Answer:

Question: 3.100

A 2.6-kip force is applied at Point D of the cast iron post shown. Replace that force with an equivalent force-couple system at the center A of the base section.

Verified Answer:

\begin{aligned} & \overrightarrow{D E}=...

Question: 4.117

A 20-kg cover for a roof opening is hinged at corners A and B. The roof forms an angle of 30° with the horizontal, and the cover is maintained in a horizontal position by the brace CE. Determine (a) the magnitude of the force exerted by the brace, (b) the reactions at the hinges. Assume that the

Verified Answer:

Force exerted by CE:

\begin{aligned} \mathb...

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