6. A small block m rests on a triangular wedge of mass M and angle 0, which in turn sits on horizontal table top. We apply a horizontal force F to M. All surfaces are frictionless.
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- F 0 EC FAC $ Ed and Al are pushing on a couch as shown in the picture and it doesn't slip. Ed is pushing with a force of 198.9 N at an angle of 0 = 54 degrees with respect to the vertical and Al is pushing with a force of 60.2 N at an angle of = 35.4 degrees with respect to the horizontal. If the couch has a mass of 83 kg and the coefficients of static and kinetic friction between the couch and the floor are μg = 0.53, and k = 0.39, what is the magnitude of the force of friction exerted by the floor on the couch? Click here for a hint Fمجھے E 20 C 4. A 115 kg scaffold is 6.60 m long. It is hanging with two wires, one from each end. A 600 kg box sits 1.70 m from the left end. What is the tension in the right hand side wire? (g = 9.8 m/s²) Newtons $ R F 888 F4 V % 5 T G tv 6: B MacBook Air FG Y Q H & 7 F7 N 8 DII M ( 9 MOSISO FR O O P zoom mes or r ISUIT by mi 04 M nufferYou have 40 kg friend lying on a 60 degree slope who needs your help. You toss them a rope and hold on tight to keep them from falling. If the coefficient of friction between and the slope is 0.3, how hard must you hang on in order to keep your friend from moving?
- A car of mass m₁ 1000 kg is connected to a trailer of mass m2 = 400 kg by a taut inextensible cable. The car's engine provides a constant forward driving force Fx = 7000 N, which causes the car-plus-trailer to accelerate forwards along the horizontal x-axis. The tension of the cable produces a force on the trailer and also a force on the car. You may assume that the magnitude of the two forces is the same. You may also ignore friction. What is the tension in the cable joining the car to the trailer? Give your answer by entering a number, correct to an appropriate number of significant figures, in the empty box below.22. Two forces of F₁ = 750 (î – ĵ) N and F₂ = ¹500 (î-Ĵ) N act on an object. Find the third force 3 that is needed to balance the first two forces.3. The force F required to move a box by pulling on an attached rope that forms an angle w with the horizontal is given by fmg F(w) = cOSw + f sin w where f, m, g > 0 are all constant. (a) Show that the angle wo that minimizes the required force to set the box in motion is given by arctan(f) (b) Show that this minimal force F(wo) is proportional to (a constant multiple of)
- 2. A 25 kg crate hangs in equilibrium from two strings made from the same material and knotted together as shown. 30° 45° Determine the tension in each of the cables. Note that the tension will be different in each cable.How do I find the tensionThe figure below shows a block weighing 22 N in contact with a vertical wall. Two forces are applied to the block, in addition to gravity, a horizontal force F of magnitude 60 N which pushes the block against a vertical wall and a force P of magnitude 62 N which pushes upward on the bottom of the block parallel to the wall. The coefficient of static friction between the wall and the block is 0.55 and the coefficient of kinetic friction between them is 0.38. Is the frictional force acting on the block static or kinetic, what is its magnitude and in what direction does it point? F P