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Rotational Equilibrium And Rotational Dynamics
In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.
Equilibrium of Forces
The tension created on one body during push or pull is known as force.
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- 01. If cable CB is subjected to a tension that is twice that of cable CA, determine the angle 0 for equilibrium of the 10-kg cylinder. Also what are the tensions in wires CA and CB? iA carpenter holds a 10-lb 2-in. by 4-in. board as shown. If he exerts vertical forces on the board, determine the forces at A and B (use positive if the force is up and negative if down). B A 3' 9' Answers: NA %3D i -321.7 Ib NB = %3D i 643.4 Ibes SThis course EHide blocks The 30-kg pipe is supported at A by a system of five cords. Determine the force in the cable AB for equilibrium: B 60° Select one: O a. T(AB) = 293.83 N T(AB) = 339.83 N O c. T(AB) = 493.83 N. O d. T(AB) = 193.83 N
- 2. The steel I beam in the drawing has a weight of 8.00 kN and is being lifted at constant velocity. What is the tension in each cable attached to its ends? 70 70400 N 30° 5. If the tension in the cable is 400 N, determine the magnitude and direction of the resultant force acting on the pulley. This angle is the same angle 0 of line AB on the tailboard block. 400 NTwo tension wires are supported by a concrete block attached to an anchor ring as shown in the figure. 3.50 kN 7.00 kN 30 Which of the following most nearly gives the resultant force in the anchor ring? B. 9.701 kN D. 5.158 kN A. 10.420 kN C. 7.825 kN Which of the following most nearly gives the angle that the resultant force makes with the horizontal? B. 43.675 D. 39.556 Which of the following most nearly gives the minimum weight of the concrete block with a factor of safety of 1.25 19.987 c. 53.712 A. to prevent uplift? A. 3.86 kN 4.45 kN В. 4.09 kN 4.66 KN C. D.
- I have a shelf full of textbookd.Each book has a mass of 1.0 kg and mus=0.3. a. How hard do I need to push horizontally to unstick the top book from the rest of the pile? b. How many books can I unstick from the top of the pile if I push with a force of 16N?A 80-kg block is suspended as shown. The beam is weightless and is hinged to the wall at A. The tension force of the cable T has magnitude: (Use g = 9.8 m/s2) %3D T. 3m A 4m block O a 980 N Ob. 817 N Oc. 1143 N Od. 620N O e. 1307 NIf the two cords are connected to the vertical cord supporting the 200-kg chandelier. Calculate F_A (Tension A). 60° B. 1960 N 200 kg 2000 N 2263.21 N O 3125 N O 2256.24 N
- A wniform ladder 15 ft long is leaning against a frnctionless wall at an angle of 53° above the horizontal. The weight of the ladder is 30 pounds. A 75-lb boy climbs 6.0-ft up the ladder. What is the magnitude of the friction force exerted on the ladder by the floor? a. 24 lb b. 34 lb с. 43 lb d. 38 lb e. 47 lbThe 6-m pole ABC is acted upon by a 460-N force, P, as shown in the figure. The pole is held by a ball-and-socket joint at A and by two cables BD and BE. For a = 3 m, determine the tension in each cable and the reaction at A. (Round the final answers to one decimal place.) 3. 1.5 m P E The tension in cable BD is The tension in cable BE is The reaction at A is - ( y C B 3 m N. N. N)i + 3 m 3 m 1.5 m 3 m X N)j + N)k.left end. What is the tension in the right hand side wire?(g "s2) 4. A 120 kg scaffold is 5.60 m long. It is hanging with two wires, one from each end. A 460 kg box sits 2.20 m from th Newtons f60 sf60 ssic 60 ssf60