2. Two loads 400N and 500N are suspended in a vertical plane by three springs as shown in Figure. Find the tension in the strings B A 30 30° 400N 50ON
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- A uniform bar AB of weight W = 25 N is supported by two springs, as shown in the figure. The spring on the left has a stiffness k[= 300 N/m and natural length Lt=250 mm. The corresponding quantities for the spring on the right are k2= 400 N/m and L^ = 200 mm. The distance between the springs is L = 350 mm, and the spring on the right is suspended from a support that is a distance it = SO mm below the point of support for the spring on the left. Neglect the weight of the springs. (a) At what distance x from the left-hand spring (figure part a) should a load P = 18 N be placed in order to bring the bar to a horizontal position? (b) If P is now removed, what new value of k{is required so that the bar (figure part a) will hang in a horizontal position underweight If? (c) If P is removed and kt= 300 N/m. what distance b should spring ktbe moved to the right so that the bar (figure part a) will hang in a horizontal position under weight II"? (d) If the spring on the left is now replaced by two springs in series (kt= 300 N/m, kt) with overall natural length Lt= 250 mm (see figure part b). what value of k; is required so that the bar will hang in a horizontal position under weight IF?2. The structure is connected by a pin joint at point A and by a cable of length L at points B and C, respectively.When load P is given at point D as shown below, what is the vertical displacement at point D?Both wires are 90 inches long and are 0.10 inches in diameter. Find the tension in each wire. (Hint: since the beam is rigid, wire CE will stretch twice as much as wire BD.) E = 30 X 10^6 psi.
- A uniform bar 6 m long is held by ropes at the ends making angle 60° and 30°, respectively, with the horizontal. A weight of 400 N is hung 1.0 m from the left end where the 60° rope is attached. Find the tension in the rope and the weight of the bar.Physics for Engineering A uniform bar 3.00 m long is held by ropes at the ends making angle 60.0 and 30.0, respectively, with the horizontal. A weight of 200 N is hung 0.500 m from the left end where the 60.0 rope is attached. Find the tension in the ropes (T1 & T2) and the weight (W) of the bar. (Hint: Formulate three equations for the three unknowns, 2 equations for the 1st condition and 1 equation for the 2nd condition.)Figure Q3 shows a steel bar of diameter 16 mm and length 600 mm subjected to axial forces.If E = 210×103 N/mm2for steel, determine the change in its length.
- Q/ Find the reaction forces at A and B, (A pin connection and B roller connection)? 120N/m2. A ladder 12 m long leans against a vertical frictionless wall with its lower end 3 m from the wall. The ladder weighs 40 N. Find the magnitude and direction of the force exerted on the lower end of the ladder. 3. A uniform 25 N beam 6 m long is carried by two men A and B, one at each end of the beam. a) If A exerts a force of 20 N, where must a load of 45 N be placed on the beam? b) What force does B exert?A uniform drawbridge must be held at a 38.5 ∘ angle above the horizontal to allow ships to pass underneath. The drawbridge weighs 45000 N, is 13.0 m long, and pivots about a hinge at its lower end. A cable is connected 3.80 m from the hinge, as measured along the bridge, and pulls horizontally on the bridge to hold it in place. a) What is the tension in the cable? b) Find the magnitude of the force the hinge exerts on the bridge. Find the direction of the force the hinge exerts on the bridge. c) If the cable suddenly breaks, what is the initial angular acceleration of the bridge?
- The Figure shows a bar AB, of length L, which is supported at point A, against the wall andsuspended by a cable at point B, and a weight w is hung from it at end B. The weight of thebar AB and cable weight are negligible. Suppose the weight W and the angles θ1 and θ2are known. What is the direction of the reaction force R of the wall against the barA uniform bar 3.00 m long is held by ropes at the ends making angle 60.0 and 30.0,respectively, with the horizontal. A weight of 200 N is hung 0.500 m from the leftend where the 60.0 rope is attached. Find the tension in the ropes (T1 & T2) andthe weight (W) of the barTwo AC and BC cables are connected at point C as shown in the figure and are loaded with a mass equal to 200kg. Calculate the strength in the cables.