Determine the magnitude of the y-component of the reaction force at pin A (in kN). The beam AB is a standard 0.5 m I-beam with a mass of 95 kg per meter of length. 14 l A 0.25 m 0.5 m 0.12 m 5 m 25° 1.5 m 10 kN B
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standard 0.5 m I-beam with a mass of 95 kg per meter of length.
14
l
A
0.25 m
0.5 m
0.12 m
5 m
25°
1.5 m
10 kN
B"
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- Two constant forces F1 = 8.5 "i +5.6 *j +8.4^kN and F2 = 1.7^i -3.5 ^j -4.7^k N act together on an object causes a displacement from position r1 = 3.3^i + 5.4 ^j+ 3.5^ k cm to position r2= 8.3^i + 1.3 ^j + 1.3^ k cm. Determine the total work done (J) on the object. Answer:An asteroid of mass m = 8.5 × 1012 kg has two rocket thrusters attached to it. One thruster supplies a force with x- and y- componentsF 1 = (8.0 × 107, 7.0 × 107) N while the other supplies a force with x- and y-components F 2 = (4.0 × 107, −2.0 × 107) N. (You may ignore the mass of the rocket thrusters and their fuel.) Draw a sketch showing the two forces acting on the asteroid. Your sketch should be drawn (approximately) to scale. Use your sketch to estimate (without calculation) the resultant force on the asteroid. Include the resultant force on your sketch.Lizzy is training on the trapeze when a slight accident occurs. As a result, she is now hanging from the middle of a 60 m safety rope connected to the ceiling on one end and held by a strongwoman from the circus on the other end. She has a mass of 50 kg and the part of the rope connected to the ceiling makes an angle of 55° with the vertical. The part of the rope that connects Lizzy to her fellow circus artist makes an angle of 20° above the horizontal (the strongwoman is above Lizzy). As long as Lizzy remains stationary, what is the tension in both parts of the rope?
- 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 iYou are using a modified block and tackle pulley system to lift a concrete block. You need to lift the concrete block (mass=200kg) a distance of 5 meters upward. The system is designed to reduce the force loaded by a factor of 4. How much rope must you pull down on the other side of the pulley to lift the block the proper distance?
- Two hockey players check an opponent into boards simultaneously. Player 1 hits from the left at an angle of 37 degrees to horizontal and a force of 400N. Player 2 hits from the left at an angle of 41 degrees to horizontal and a force of 600N. What is the magnitude and direction of total force applied to opposing playerIn (Figure 1), l = 4 m and n = 4.5 m. Figure 11 B 8 F=600 N 3 m 1 of 1 Part A Determine the angle between the force and the line AB. Express your answer in degrees to three significant figures. 17 ΑΣΦ 0 = Submit Provide Feedback Request Answer vec ?An object of mass m1 = 3.50 kg placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m2 = 6.60 kg as shown in the figure. An illustration shows a rectangular block of mass m1 on the horizontal surface of a table. This is connected to another rectangular block of mass m2 by a cord that runs over a pulley placed diagonally at the corner of the horizontal surface of the table. The rectangular block of mass m2 is suspended vertically by the side of the tabletop. (a) Draw free-body diagrams of both objects. This answer has not been graded yet. (b) Find the magnitude of the acceleration of the objects. m/s2(c) Find the tension in the string. N
- 1. Determine the x, y, and z components of the 900 N force shown in Figure 1. 22 900 N 65° y 20⁰ 35⁰ Figure 1 750 N 25° xProblem 16: A 50 kg block and a100 kg block are connected by a string as shown in the figure. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between the 50 kg block and the incline is 0.250. Find the speed of the 100 kg block after it has fallen 1.5 m, causing the 50 kg block to move from position A to B. 50.0 kg 37.0⁰ A 100 kgYou are working for the Highway Department. In mountainous regions, highways sometimes include a runaway truck ramp, and you are asked to help with the design of such a ramp. A runaway truck ramp is often a lane of gravel adjacent to a long downhill section of roadway where trucks with failing brakes may need assistance to stop. Working with your supervisor, you develop a worst-case scenario: a truck with a mass of 4.50 x 104 kg enters a runaway truck lane traveling at 31.1 m/s. Assume that the maximum constant value for safe acceleration of the truck is -5.00 m/s². Any higher magnitude of acceleration increases the likelihood that semi-trailer rigs could jackknife. Your supervisor asks you to advise her on the required length (in m) of a runaway truck lane on a flat section of ground next to the roadway. m Need Help? Read It