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The work done on an object is equal to the force times the distance moved in the direction of the force. The velocity of an object in the direction of a force is given by
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EBK NUMERICAL METHODS FOR ENGINEERS
- Q1: Find the result of F1 Force acting on a body as shown below: 400 N F; 300 N 60 30 F;-150 N F,= 260 Narrow_forward3. An athlete pushes against an exercise machine with a force that varies with time according to F(1) = 1200 N (1 – kf), where k = 8 s? Also, the velocity of the athlete's legs acting in the same direction as the force acts according to v(t) = 7 m/s² t a. Create a computer generated plot of the power as a function of time. b. Find the maximum power the athlete generates and the time at which maximum power is generated.arrow_forwardProblem #2: A velocity distribution is given as V = Please calculate the work flux (Iv) associated with molecular motions. -bx8,-byô, + bz8, where b is a constant and b‡0.arrow_forward
- 1. An object of mass 150 kg is dropped from a height of 400 m with no initial velocity. The body encounters an air resistance proportional to its velocity. If the limiting velocity is known to be 100 m/s, find an expression for the velocity v (in m/s) of the body at any time t (in seconds). Use g = 9.8 m/s². v = 100( 1– e -0.047t B) v = 100[ 1- e -0.085: -0.0231 C) v = 100| 1-e D) v = 100 -0.0981 -earrow_forwardA net force F = 6t? along the x-direction acts on an object of mass m = seconds and F is in Newtons). The object is initially at rest and the force acts on the object during the 3kg (t is time in %3| time interval 0arrow_forwardA horizontal force acts on the object whose magnitude is described by the graph below. What is the total work done by this force as the object moves 3 m in displacement? FA 3N 2N 2m 3m X 3.5 J O 5.0 J O 6.5 J 9.0 Jarrow_forwardQ1. As shown in the image below, the force acting on the box is F = (C.s²) N, where constant C = 2 and s is displacement in m. S Determine the work done by force ♬ to the box when the box has displaced s = 1.2 m. Please pay attention: the numbers may change since they are randomized. Negative sign must be included if the work done is negative. Your answer must include 2 places after the decimal point, and proper Sl unit. 1 F Your Answer: Answer units Sarrow_forwardQ1. As shown in the image below, the force acting on the box is F = (C · s²) Determine the work done by force F to the box when the box has displaced s = 1.7 m. Please pay attention: the numbers may change since they are randomized. Negative sign must be included if the work done is negative. Your answer must include 2 places after the decimal point, and proper Sl unit. N, where constant C = 6 and s is displacement in m. S F -arrow_forwardA mechanic is trying to tighten a giant bolt using a wrench. Forces are applied at points A and B. d₁ 0₁ 160 N 570 N 15 degrees 15 degrees 40 degrees 0.35 m 0.19 m F₁ clockwise N-m Which direction is Mo rotating? counter-clockwise d2 A 0₂ Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value F₁ 03 X F₂ 0₁ 0₂ 03 d₁ d₂ a. Using Varignon's Theorem, determine the magnitude of the moment about the origin, Mo. Round your final answers to 3 significant digits/figures. Mo= F2arrow_forwardThe elastic potential energy of a spring Ve depends on the spring constant k of the spring and the extension of the spring according to: O Ve = kx. O Ve = kx. O Ve = - kx. O V. = kx.arrow_forward1.75m 1.5 m 2.75m Given: G/0 Find: 2.25m 6 o B 2.0m . h = 2.05 meters • Tension = 85 Newtons 26 1.5m W Magnitude of internal axial force (Newtons) Axial Force Bending moment V Shear forcearrow_forwardThe marketing research department of a large manufacturing company has determined that the demand equations for two major items it produces are given by p = 2,000 - 5x + 8y and q = 4,000+ 9x - 7y where p is the price of item A. is the price of item B , x is the monthly demand for item A , and y is the monthly demand for item B. Find the total monthly revenue from items A and B when x = 15 and y = 5 .arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning