Problem 1.noticed that the mass m₁ =The system is released from rest with no slack in the cable and with the spring unstretched. It iscylinder, m₂ = 3 kg and the spring stiffness, k = 150 N/m.4 kg travels up the incline before it comes to rest. Consider the mass of the hangingm2a.Draw the free body diagrams of both the 4-kg and 3 kg massesdenoting all the effective external forces and determine which forces areactive and which one are reactive.b. Based on conservation of mechanical energy, determine the distance straveled by the 4-kg cart before it comes to rest. Assume no mechanicalinterference and no frictionFBQW=mg (active)T (reachink = 150 N/mwwwm₁ = 4 kg25°P (ructure)m₂ = 3 kg

Answered: Problem 1. noticed that the mass m₁ =…

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.5P: The contact surface between the 36-lb block and 20-lb homogenous cylinder is frictionless. Can the...

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The contact surface between the 36-lb block and 20-lb homogenous cylinder is frictionless. Can the system be in static equilibrium 0n the rough inclined plane?
The mass of each ball of a spring controlled grainty governor is 1.4 kg. The bell crank lever has its vertical arm 90 mm long and the horizontal arm 40 mm long. The distance of the fulcrum from the axis of rotation is 45 mm. The sleave has a mass of 7.5 kg, The sleeve begins to rise at 220 r.p.m and rise of sleeve for 6% is 8 mm. Find the initial thrust in the spring and Its stiffness.
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Problem 1. Find the horizontal force magnitude P needed to start the motion of the block with mass mo in two scenarios: (a) when P is applied to the right and (b) when P is applied to the left. Develop a general solution for each scenario, and subsequently, substitute the values 0= 25°, m = mo = 2.5 kg, μs = 0.40, and μk = 0.35 into your expressions for evaluation. Hs> Hk P (a) A mo Ө m P (b) B
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For the problem related to Fundamental.6 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. The tractor is used to lift the 50-kg load B with the 27-m long rope, boom, and pulley system. The height h=4-m, SA=15m and sg=1.3m. SB B hm -SA If the tractor travels to the right with an acceleration of 3 m.s2. The maximum of tension of the allowable tension force in the rope is 3-kN. Determine the maximum of the allowable velocity of the tractor.
1. A cart is being pulled by a motor. The cart has a mass of m = 200 kg. The motor applies a horizontal force of F = 800 N to the center of the right side of the cart. The cart is 1m tall, the total length is 1.5m, the wheels are 1m apart from each other, and the center of mass G is 0.4 m above the floor and on the horizontal center. Ignore friction. If there is no rotational movement of the cart, determine the following: 1. The cart's acceleration 2. The reaction (normal) force at the front pair of wheels. 3. The reaction (normal) force at the rear pair of wheels. F 77 TI T
Figure below shows a mass-spring model of the type used to design packaging systems and vehicle suspensions, for example. The springs exert a force that is proportional to their compression, and the proportionality constant is the spring constant k. The two side springs provide additional resistance if the weight W is too heavy for the center spring. When the weight W is gently placed, it moves through a distance x before coming to rest. From statics, the weight force must balance the spring forces at this new position. (if x=d) These relations can be used to generate the plot of x versus W. (a) The following values are given: k1=104 N/m; k2 = 1.5 *104 N/m; d =0.1 m. Create a function that computes the distance x, using the input parameter W; Then, test your function for the following two cases, using the values: W=500 N W=2000 N. (b) Create another script and use your function to plot x versus W for 0 < W < 3000 N for the values of k1, k2, and d given in part a.
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