The rigid square frame in Fig. 12-79 consists of the four side bars AB, BC, CD , and DA plus two diagonal bars AC and BD , which pass each other freely at E . By means of the turnbuckle G , bar AB is put under tension, as if its ends were subject to horizontal, outward forces T → of magnitude 535 N. (a) Which of the other bars are in tension? What are the magnitudes of (b) the forces causing the tension in those bars and (c) the forces causing compression in the other bars? ( Hint: Symmetry considerations can lead to considerable simplification in this problem.) Figure 12-79 Problem 75.
The rigid square frame in Fig. 12-79 consists of the four side bars AB, BC, CD , and DA plus two diagonal bars AC and BD , which pass each other freely at E . By means of the turnbuckle G , bar AB is put under tension, as if its ends were subject to horizontal, outward forces T → of magnitude 535 N. (a) Which of the other bars are in tension? What are the magnitudes of (b) the forces causing the tension in those bars and (c) the forces causing compression in the other bars? ( Hint: Symmetry considerations can lead to considerable simplification in this problem.) Figure 12-79 Problem 75.
The rigid square frame in Fig. 12-79 consists of the four side bars AB, BC, CD, and DA plus two diagonal bars AC and BD, which pass each other freely at E. By means of the turnbuckle G, bar AB is put under tension, as if its ends were subject to horizontal, outward forces
T
→
of magnitude 535 N. (a) Which of the other bars are in tension? What are the magnitudes of (b) the forces causing the tension in those bars and (c) the forces causing compression in the other bars? (Hint: Symmetry considerations can lead to considerable simplification in this problem.)
A rigid bar of mass M is supported symmetrically by three wires each of length l. Those at each end are ofcopper and the middle one is of iron. The ratio of their diameter, if each is to have the same tension, is equal to
(a)YcopperYiron(b) √YironY copper(c)Yiron2Ycopper2(d)YironYcopper
(b) A heavy uniform rod AB of weight W is hinged at A to a fixed point. It is pulled aside by a
horizontal force P so that it rests inclined at an angle 0 to the vertical. Show that
(i) the magnitude of the force Pis
1-cos2e
W
2V 1-sin24
(ii) the reaction at the hinge is V3+ sec*0
The system in the figure is in equilibrium. A concrete block of mass 232 kg hangs from the end of the uniform strut of mass 60.2 kg. For
angles o - 29.1° and 0 - 58.8 find (a) the tension Tin the cable and the (b) horizontal and (c) vertical components of the force on the
strut from the hinge.
Serut
Tinge
(a) Number
Units
(b) Number
Units
(c) Number
Units
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