(4) Compute the magnitude of the force at point F of the lifting tongs which cross without touching. Ans: F = 5.51 kN 540 mm 540 mm E 360 mm D 600 mm B 400 kg 720 mm 900 mm
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- A force of 62,125 pounds pulls on a steel rod that has a diameter of 1800 inches. Find the force pulling on 1 square inch of the cross-sectional area. Round the answer to the nearest pound.The force P = 15 lb is applied to the cable and the cords slip on the smooth surfaces of the non- rotating pulleys. Determine the magnitude and direction of the acceleration of the 36-lb cylinder if (a) the pulleys are massless, (b) the pulleys are 4 lb each. (a = 21.5 ft/sec², a = = 6.9 ft/sec²) P WA 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.
- 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 sheet of water of uniform thickness (h = 0.03 m) flows from the device shown in the figure below. The water enters vertically through the inlet pipe and exits horizontally with a speed that varies linearly from 0 to 11 m/s along the 0.2-m length of the slit. Determine the y component of anchoring force necessary to hold this device stationary. FAY = 0 m/s- i 0.2m 0.03m N 11m/s(5) For the two-bar frame shown, determine the magnitudes of the connection force at pin B and the reaction at pin C for a weight of W= 2400 lb. Ans: B 9330 lb, C= 8350 lb W 5' B 5' D 3'
- A force of 24.0 N was used to push an object weighing 29.5 kg along a flat, frictionless, horizontal surface. What is the magnitude of the acceleration achieved by the object? 8.0 m/s2 0.8 m/s² 1.2 m/s² 5.5 m/s² A B. C. D.A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 147-kg laser sensor which measures the thickness of the ice (see the drawing). The helicopter and the sensor move only in the horizontal direction and have a horizontal acceleration of magnitude 2.54 m/s2. Ignoring air resistance, find the tension in the cable towing the sensor.A hand truck is used to move two kegs, each of a mass 39 kg. Assume g=9.8 m.s²² and neglect the weight of the hand truck. a=30 deg. 80 mm 350 mm 500 mm B 300 mm A P 1- Determine in N the vertical force P that should be applied to the handle to maintain equilibrium when a=30 deg.
- The graph of a force function (in newtons) is given. How much work is done by the force AF (N) 24 20 16 124 Q in moving an object 10 m? 4 x (m) 0- The amount of work done by the force in moving an object 10 m is J. (Type a whole number.) Le(5) The 16 N force is applied to the foot valve AC at point A as shown with a = 28°. Determine (a) the force component perpendicular to line BA and (b) then calculate the moment produced by the force about point B. Ans: (a) 7.51 N (b) MB = 1.277 N·m CCW 20° 16 N 170 mm 80 mmA 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). J