Learning Goal: To draw the free-body diagram of a point particle, use the equations of equilibrium to find unknown forces, and understand how frictionless pulleys affect the transfer of force in a cable. As shown, a mass is suspended from a cable that wraps around a frictionless and massless pulley. The cable connects to a linear elastic spring. For this problem, treat the pulley as a point particle at B. (Figure 1) Figure A 0 B b 1 of 1 > Part A - Drawing the free-body diagram of the pulley The portion of the cable attached to the spring is at an angle of = 35° from the ground. The spring has a spring constant of k = 15.5 kN/m. The pulley is attached to the ceiling by rod BD that forms an angle = 62.5° with the ceiling.Draw the free-body diagram of the pulley. Recall that the pulley is massless. Start all forces at point B in the center of the pulley. Draw all forces as tensile forces, or pulling forces. All angles should be measured from the positive x axis. They are positive in the counterclockwise direction. Note - You can click on the attributes button after selecting a vector and enter angle value of the vector in the angle field. ► View Available Hint(s) 0 No elements selected ΤΑ To (2

Learning Goal: To draw the free-body diagram of a point particle, use the equations of equilibrium to find unknown forces, and understand how frictionless pulleys affect the transfer of force in a cable. As shown, a mass is suspended from a cable that wraps around a frictionless and massless pulley. The cable connects to a linear elastic spring. For this problem, treat the pulley as a point particle at B. (Figure 1) Figure A 0 B b 1 of 1 > Part A - Drawing the free-body diagram of the pulley The portion of the cable attached to the spring is at an angle of = 35° from the ground. The spring has a spring constant of k = 15.5 kN/m. The pulley is attached to the ceiling by rod BD that forms an angle = 62.5° with the ceiling.Draw the free-body diagram of the pulley. Recall that the pulley is massless. Start all forces at point B in the center of the pulley. Draw all forces as tensile forces, or pulling forces. All angles should be measured from the positive x axis. They are positive in the counterclockwise direction. Note - You can click on the attributes button after selecting a vector and enter angle value of the vector in the angle field. ► View Available Hint(s) 0 No elements selected ΤΑ To (2

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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igure 2. Assume that the rod is massless, perfectly rigid, and pivoted at point P. When the rod is perfectly horizontal, the angle 0 = 0, the displacement y 0, and the springs are in neither tension nor compression. Gravity acts on the system (e.g. on mass M). We assume that y is a small displacement. A mass M is attached at the end of the rod. DE only 225 Your tasks: X k 0 3k a F a M y A Derive an equation of motion for the system in terms of the angular displacement 0, and its derivatives (you should not have y or its derivatives in this equation.) B Derive an equation of motion for the system in terms of the displacement y, and its derivatives (you should not have or its derivatives in this equation. C Assuming there is no external actuator force F acting on the system, write down the total energy H of the system in terms of 0,0 and element constants. Derive an expression for the time derivative H of the total energy. D Transform the equation from part B, which is in y, to another…
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Learning Goal: To draw the free-body diagram of a point particle, use the equations of equilibrium to find unknown forces, and understand how frictionless pulleys affect the transfer of force in a cable. As shown, a mass is suspended from a cable that wraps around a frictionless and massless pulley. The cable connects to a linear elastic spring. For this problem, treat the pulley as a point particle at B. (Figure 1) Figure B X 1 of 1
Three springs with different spring constants are connected as shown below. You are going to use spring elements to simulate this system. Suppose that the spring constants of the first, second and third elements are k1=3,410 N/m, k2=3,160 N/m and k3=3,380 N/m, respectively. Two horizontal forces are applied to the system (as shown) at nodes. 2 and 3. Find the displacement of node 3 and write your answer in mm (millimetre). Hint: Write your answer with 5 decimal places. For example if you calculated the value 1.2345678, then rounding off to 5 decimal places yields 1.23457 and that is the value you need to type in the answer box. U₁=0 (1) F₂ = 2N U₂ = ? F3 = -1N (2) M U3 = ? (3) U4 = 0
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