Three forces act at point O. If it is known that the y-component of the resultant R is -4.9 kN and that the z-component is 3.7 kN, determine F3, 0, and R.
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- F = (-30i + 60j + 60k )kN %3D Forces are concurrent at point O. Determine the magnitude of the resultant of the three vectors. a 71.5 kN b 187 kN F, = (60i – 20j+ 15k )kN c 116 kN d 83.7 kN Determine the angle between F, andF,. F, = (20j – 25k)kN X а 111° b 132° c 69.0° d 21.0° Select the expression that denotes a unit vector in the direction and sense of F,. a 0.625j -0.781k b 0.625i -0.781j c -0.625 j –0.781k d 0.625i +0.781jThe force F has a magnitude of 480 Ib and acts along the diagonal of the parallelepiped as shown. Express Fin terms of its magnitude times the appropriate unit vector and determine its x-, y-, and z-components. A 6' F = 480 b 8' 3' B Answers: i+ i j+ i F= ( i Ib)( i Fx Ib i Fy Ib F2 Ib iA force F of 36N acts on a box in the direction of the vector OP, where P (-5,7,–3) and O(0,0,0). Express the force as a vector. F = help (vectors) Find the angle between force F and the xy-plane. Answer in radians. help (angles)
- Problem 3.A block of mass m = 1.85 kg is pushed a distance d = 3.15 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle ? = 32.0° below the horizontal as shown in the figure below. A block labeled m is on a horizontal surface. An arrow labeled vector F points downward and to the right at an angle ? above the horizontal, and acts upon the upper left corner of the block. A faded image of the block is a distance d to the right of the block. (a) Determine the work done on the block by the applied force.(b) Determine the work done on the block by the normal force exerted by the table.(c) Determine the work done on the block by the force of gravity.(d) Determine the work done by the net force on the block.Fig. P3-2 33 A homogeneus cylinder weighing 00 Ib sts against two smooth planes that form a trough as shown in Fip. P3. Determine the forces exerted on the cylinder by the planes at contact points A and 8. Fig. P3
- Write the solution on a paper and round to 4 decimal placesThe system shown consists of 3 cables. For instance; cable C12 joins points 1 and 2. The coordinates of point 1 are (7.79, 0, 0) m, those of point 2 are (0, 7.58, 9.77) m, and those of point 3 are (0, 7.58, -9.77) m. The force P = 99 kN. Determine the force in cable C14.e weight of the block in the drawing is 97.0 N. The coefficient of static friction between the block and the vertical wall is 0.430. (a) What minimum magnitude of the force is required to prevent the block from sliding down the wall? (Hint: The static frictional force erted by the block is directed upward, paraliel to the wall.) (b) What minimum force is required to start the block moving up the wall? (Hint: The static frictional force is now directed down the wall.) Block wall ) Number Units p) Number Units
- A block of mass m = 2.90 kg is pushed a distance d = 7.80 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle ? = 24.0° below the horizontal as shown in the figure below. A block labeled m is on a horizontal surface. An arrow labeled vector F points downward and to the right at an angle ? above the horizontal, and acts upon the upper left corner of the block. A faded image of the block is a distance d to the right of the block. (a) Determine the work done on the block by the applied force. J(b) Determine the work done on the block by the normal force exerted by the table. J(c) Determine the work done on the block by the force of gravity. J(d) Determine the work done by the net force on the block.V F Resolve the force F into components along the u and v axes, and determine the magnitudes of these components. Given that F = 35 N, a = 16° , and ß = 32°, the magnitude along u is (round to one decimal place) : N the magnitude along v is (round to one decimal place) : NIn the figure, a cord runs around two massless, frictionless pulleys. A canister with mass m = 41 kg hangs from one pulley, and you exert a force F on the free end of the cord. (a) What must be the magnitude of F if you are to lift the canister at a constant speed? (b) To lift the canister by 3.5 cm, how far must you pull the free end of the cord? During that lift, what is the work done on the canister by (c) your force (via the cord) and (d) the gravitational force? (Hint: When a cord loops around a pulley as shown, it pulls on the pulley with a net force that is twice the tension in the cord.) (a) Number i Units (b) Number i Units (c) Number Units (d) Number i Units