Starting from rest, an elevator weighing 9000 Newtons attains an upward velocity of 5 m/s in 4 seconds with uniform acceleration. a. Compute for the uniform acceleration. b. Compute the apparent weight of a man weighing 600 Newtons standing inside the elevator during the accent. c. Compute the tension in the supporting cable of the elevator.
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- 1. A telephone pole has three cables pulling as shown from above, with F, (260.0î + 510.0ĵ), F2 = -250.0î , and F3 = –700.0ĵ . a. Find the net force on the telephone pole in component form. b. Find the magnitude and direction of this net force. F,The resultant of the concurrent forces has a magnitude of 1000 N passing through points (x₁ = 0, y₁ = 0, z₁ = 0) and (x₂ = 2, y₂ = 3, z₂ = 4). 1. Compute the x- component of the resultant force. a. 371.1 N b. 392.3 N c. 422.6 N d. 245.9 N 2. Compute the y – component of the resultant force. a. 512.9 N b. 557.1 N c. 435.8 N d. 634.7 N 3. Compute the z – component of the resultant force. a. 632.7 N b. 642.8 N c. 742.1 N d. 791.3 NFind the tension in the two cords shown in (Figure 1). Neglect the mass of the cords, and assume that the angle 0 is 33° and the mass m is 230 kg. Part A Determine the tension in the cord BA. Express your answer to two significant figures and include the appropriate units. ? FT BA = Value Units Figure 1 of 1 Submit Request Answer A Part B Determine the tension in the cord BC. В С Express your answer to two significant figures and include the appropriate units. HA ? m Fr BC = Value Units
- 1. Answer the following: a. Carlo walks 8 km East, then 5 km South and finally 6 km West. Find his final displacement. b. Carlo and Karlo pull at two ropes attached to a cabinet with forces 80N and 120 N. What is the resultant force if they pull at right angle to each other? c. Carlo leaves Buting Senior High School, drives 26 km due North, then turns onto a street and continues in a direction 30° NE for 35 km and finally turns onto the highway due East for 40 km. What is his total displacement?Conters QZ02 Determine the resultant of forces A and B, and state the direction of the resultant force measured from the positive x axis. 1. Resolve forces into components. 2. Express force vectors as Cartesian vectors. 3. Add like-components together. 4. Use Pythagorean theorem to obtain the magnitude and direction. a 30 B 45" A=400 lb. B = 600 lb. 26 ese3. A block of mass M is hung by ropes as shown. The system Is in equilibrium. The point O represents the knot, the junction of the three ropes. The tension forces, F1 and F2, are equal in magnitude. F1 200스 I30º M
- 1. You are tasked with designing the runway on an aircraft carrier. The minimum speed for the F/A18 Hornet is 200 mph. The Hornet weighs 40,000 lbf and its twin engines provide a thrust of ~40,000 lbf combined, providing a max acceleration of 1g.a. How long must the deck be to takeoff unassisted? Give the answer in ft. b. This is most likely longer than your typical ~450 ft carrier. What acceleration must you achieve with both the engines and with a catapult system together to reach the required minimum speed by the end of the deck? c. What net force (combined engines and catapult) must be applied to the plane to get the acceleration in b? d. Do you think the plane will be able to use disk brakes on its tires to stop when landing?Use your knowledge of friction to make your argument. Also know that their coefficient of friction is ~1.1 V:IV H.W.docx H.W: Two boxes are connected by a cord running over a pulley. The coefficient of kinetic friction between m, (5kg) and the table is 0.20. We ignore the mass of the cord and pulley and any friction in the pulley, which means we can assume that a force applied to one end of the cord will have the same magnitude at the other end. We wish to find the acceleration, a, of the system, which will have the same magnitude for both boxes assuming the cord doesn't stretch, As m (2Kg) move down, m,move to the right. m. د قوة الشد Tو تسارع النظام .a علما بأن البكرة مهملة الكتلة والاحتكاك؟ 出 11 V:IV H.W.docx H.W: Two boxes are connected by a cord running over a pulley. The coefficient of kinetic friction between m, (5kg) and the table is 0.20. We ignore the mass of the cord and pulley and any friction in the pulley, which means we can assume that a force applied to one end of the cord will have the same magnitude at the other end. We wish to find the acceleration, a, of the system, which will have the same magnitude for both boxes assuming the cord doesn't stretch. As m; (2Kg) move down, m, move to the right. m. د قوة الشد Tو تسارع النظام .a علما بأن البكرة مهملة الكتلة والاحتكاك؟ 出 l20 Son la 1
- 9. Consider the falling object of mass 10 kg in Example 2, but assume now that the drag force is proportional to the square of the velocity. a. If the limiting velocity is 49 m/s (the same as in Example 2), show that the equation of motion can be written as 1 (49² - 1²). 245 dy dt Also see Problem 21 of Section 1.1. b. If y(0) = 0, find an expression for v(t) at any time. Gc. Plot your solution from part b and the solution (26) from Example 2 on the same axes. d. Based on your plots in part c, compare the effect of a quadratic drag force with that of a linear drag force. e. Find the distance x(t) that the object falls in time t. Nf. Find the time T it takes the object to fall 300 m.Consider dropping a baseball from rest at an altitude of 300 m. Assume that the baseball has a drag coefficient of 0.3, a mass of 0.145 kg, and a radius of 3.7 cm. a. What is the terminal speed vT of this baseball? b. Calculate the characteristic time tT = vT / |g|. c. Set up the Newton application to model this situation. Let's agree that the ball has essentially reached its terminal velocity when its acceleration falls below |g| / 20. About how long must the baseball fall to reach terminal velocity according to this criterion? Express your answer as a multiple of the characteristic time tT. (Hints: Equation N9.17 might be helpful as you set up the program. A time step of 0.1 seconds works pretty well.) Equation N9.17: az = -|g| * (1 - (vz2 / vT2))The tractor is used to lift the 170-kg load B with the 29-m long rope, boom, and pulley system. The height h=3-m, sA=12m and sg=1.3m. h m SB B SA If the tractor travels to the right with an acceleration of 2 m.s2. The maximum of tension of the allowable tension force in the rope is 2-kN. Determine the maximum of the allowable velocity of the tractor.