Step 1: Given Data
Weight = 10 lb
Length of longer side = 18"
Axial Tension Capacity of String = 15lb
Step 2: Free body diagram of Internal Forces
Here, θ = The angle of inclination of the string with horizontal at the state when it is at maximum tensile capacity.
It is to be observed that the only variables in this system are the Thread Length (L) and the Tension in thread (T). For the Length to be shortest the tension, T, has to be maximum i.e. 15 lb.
Length is dependent on the angle of inclination, therefore we can analyze the system as shown below,
Step 3: It can be seen that the net force in the Y direction is zero, so the sum, 10+2TSinθ = 0
Here T=15 lb,
On Solving we get, θ = -19.47 degrees
For the length to be shortest, we can use the above diagram,
LCosθ = 9
Therefore the shortest half length is = L=9.545", Total length of string is, L = 19.1".
The picture has a weight of 10 lb and is to be hunged over the smooth...
As shown, a uniform beam of length d = 5.70 ft and weight 49.2 lb is attached to a wall with a pin at point B. (Figure 1) A cable attached at point A supports the beam. The beam supports a distributed weight w2 = 24.0 lb/ft . If the support cable can sustain a maximum tension of 300 lb , what is the maximum value for w1? Under this maximum weight, what is FBy, the vertical component of the...
نقطتان (2) The ladder has a uniform weight of 80 lb and rests against the smooth wall at B. If the coefficient of static friction at A is uA = 0.25, Determine (a) the reaction in B 15 ft إجابتك نقطة واحدة b) friction force at A) إجابتك نقطتان (2) if the ladder will slip YES No
2. The ladder has a weight of so lb and rests against the smooth wall at na friction at R). If the coefficient of state friction at Ais -0.35, determine if the ladder will slip. The angle -50% 3. The 100g cylinder is suspended from two equal length cords. The end of each cord is attached to a ring of negligible mass that passes alonga Problem 2: For the bider to be in the fore the wat O 50 216...
For the system shown below, the surface at G is smooth, all members are of negligible weight, the pulley is frictionless, and the cable is inextensible .Answer all parts of the problem below A) Are there any two force members? If so, circle the two force member(s) in the diagram, or write them below: B) Determine the force in member BE. C) Determine the components of the force acting on pin C. D) Determine the force of wheel on the...
A rectangular sign over a store has a weight of 375 lb, with the center of gravity in the center of the rectangle. The support against the wall at point C may be treated as a ball-and-socket joint. At corner D support is provided in the y-direction only. Calculate the tensions T1 and T2 in the supporting wires, the total force supported at C, and the lateral force R supported at D. The force R is positive if it points...
Problem 2 The frame consists of two rigid bars that are pinned at A, B, and C. If the pin at B can only resist a net force of 550 lb, determine the maximum value of P2 that can be applied to the frame. Answer: Name: Date: EGM 2511 Statics Subject: Recitation 5.1 University of Florida Frame Analysis Problem 2 The frame consists of two rigid bars that are pinned at 4, B, and C. If the pin at B...
If the sack at A has a weight of 30 lb, determine the weight of the sack at B and the force in each cord needed to hold the system in the equilibrium position shown. (20 points) Must show FBD for full credit. 30° 3 45°A 301b
Question 2 30 Points The 644 lb weight in the figure is lifted by a motor which is connected to two attached disks by cables. The total weight of the two disks are 322 lb and Kgyration about O is 18 in. If the motor provides constant 400 lb tension force in the cable, (a) determine the acceleration of the weight. (15 pts.) (b) Total forces applied to point O. (15 pts.) 24" 12" P = 400 lb W =...
Due Thu 06/06/2019 2:5 A force of 20 lb stretches a spring 2 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 18 inches above equilibrium position. z(t) Preview (b) the weight is released 18 inches above the equilibrium position with an upward velocity of 3 ft/s. r(t) Preview...
Please show all work! Thank you! P.S. 5.2 Q2 A force of 15 lb stretches a spring 3 ft. A 8-lb weight is attached to the spring and the system is immersed in a medium that imparts a damping force equal to its instantaneous velocity. (a) Find the equation of motion if the weight is released from rest 15 inches above equilibrium position x(t) Preview (b) the weight is released 15 inches above the equilibrium position with an upward velocity...