(4) Determine (a) the force component perpendicular to line OA and (b) then calculate the moment produced by the 4 lb force about point O. Ans: (a) 3.06 lb (b) Mo=24.5 lb-in CCW F=4 lb 10° 30°
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- (4) The 250 N force is applied at point A on the handle of the monkey wrench as shown. (a) Determine from geometry the moment arm d for the force about point O, and then (b) determine the moment of the force about the center of the bolt O. Ans: (a) 0.1854 m (b) 46.4 N·m CW 30 mm 15° 200 mm 250 N4. Your upper arm exerts 60N and lower arm exerts 40N anteriorly and superiorly. When your upper and lower arms are bent at 90°, describe the magnitude and direction of the resultant force exerted on your arm. nff a long jumper has a forward (horizontal) velocity of 15m/sec and a vertical ntall and the magnitude of the(7) The effect of a slam dunk can be simulated by a force F = 47 lb acting at the front edge of the rim at point A shown. Use the scalar components approach to determine the moments of the force F about point O Mo and point B MB. Ans: Mo=81.5 lb-ft CCW, MB = 115.9 lb-ft CW -36"- B 12" 28" 10' F
- A basket of flowers of mass 3 kg is placed on a flat grassy slope that makes an angle θ with the horizontal. The coefficient of static friction between the basket and the slope is 0.45 and the basket is on the point of slipping down the slope. Model the basket of flowers as a particle and the grassy slope as a plane. Take the magnitude of the acceleration due to gravity, g, to be 9.8 m s−2 Express the forces in component form, in terms of θ and unknown magnitudes where appropriate. Write down the equilibrium condition for the basket and hence show that tan θ = 0.45. Determine the angle, in degrees, that the slope makes with the horizontal.(5) The force F=80 N is applied to the crank OA through rod AB at point A as shown, with OA= 0.05 m, 0 = 55°, and ẞ= 15°. (a) Determine from geometry the moment arm d for the force about point O, and then (b) determine the moment of the force F about point O. Ans: (a) 0.0383 m (b) 3.06 N·m CCW F B12. Find the torque on a bolt when a force of 290 N is applied on a wrench 33 cm from the bolt, at an angle of 77° to the wrench. Ans:
- A 50 N force is applied at the end of a 20 cm wrench and makes an angle of 30° with the handle of the wrench. Find the magnitude of the torque. b. What is the maximum torque that can be exerted by a 50 N force on the wrench and а. how it can be achieved?Calculate the moment Mg of the 780-N force about the bolt at B. Simplify your work by first replacing the force by its equivalent force- couple system at A. The moment is positive if counterclockwise, negative if clockwise. Assume F = 780 N. r = 195 mm, h=620 mm, 0 = 33% = 40° Answer: Ma N-mQ2: A boat is moved uniformly along a canal by two horses pulling with force P-890 N and Q=1068 N acting under an angle a=60 . Determine the magnitude of the resultant pull on the boat and the angles B and y as shown in the figure.
- A 60-mm-diameter solid aluminum post is subjected to a horizontal force of V = 25 KN, a vertical force of P = 70 kN, and a concentrated torque of T = 3.25 kN-m, acting in the directions as shown in the Figure. If L = 90 mm. Determine the normal and shear stresses at (a) point Hand (b) point K. T "| P HK X LA cable exerts a constant upward tension of magnitude 2.14 ✕ 104 N on a 2.00 ✕ 103 kg elevator as it rises through a vertical distance of 3.90 m. HINT (a) Find the work done by the tension force on the elevator (in J). J (b) Find the work done by the force of gravity on the elevator (in J). JThe tension in cable CD IS T= 675 lb. Consider the force which this cable exerts on point C and determine its moment about point O.
