A cigarettes dispenser requires a south African five-rand (R5) coin with a mass of 9.5 g to dispense one cigarette with a mass of 0.2 g. The design of such a cigarette dispenser is based on a helical spring, of negligible mass, which is found to extend 0.1 mm under a mass of 0.2 g. The spring can support a total mass of a coin. dispenser, the spring and coin system displace vertically through 4 mm and release. As the customer place money on the

A cigarettes dispenser requires a south African five-rand (R5) coin with a mass of 9.5 g to dispense one cigarette with a mass of 0.2 g. The design of such a cigarette dispenser is based on a helical spring, of negligible mass, which is found to extend 0.1 mm under a mass of 0.2 g. The spring can support a total mass of a coin. dispenser, the spring and coin system displace vertically through 4 mm and release. As the customer place money on the

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter5: Three-dimensional Equilibrium

Section: Chapter Questions

Problem 5.2P: Draw the FBD for the bar described in Prob. 5.1 if the bar is homogeneous of mass 50 kg. Count the...

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Please answer the following question A cigarettes dispenser requires a south African five-rand (R5) coin with a mass of 9.5 g to dispense one cigarette with a mass of 0.2 g. The design of such a cigarette dispenser is based on a helical spring, of negligible mass, which is found to extend 0.1 mm under a mass of 0.2 g. The spring can support a total mass of a coin. As the customer place money on the dispenser, the spring and coin system displace vertically through 4 mm and release. 1.1. Provide a schematic representation of the mass and spring system. 1.2. Calculate the frequency of natural vibration of the dispenser. 1.3. Determine the velocity of the coin when it is 2 mm below its resting position.
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One end of a uniform 2.60m rod with a mass of 38.0kg is supported by a cable connecting one end to the wall so that the cable makes an angle of 42.0° with respect to the rod. The other end rests against the vertical wall, where it is held in place by friction so that the rod is perfectly horizontal. A sign with an unknown mass is hung from the rod 1.90m from the wall so that wall exerts a normal force of 1790N on the rod in the positive x-direction. What is the mass of the sign in kilograms?
igure 2. Assume that the rod is massless, perfectly rigid, and pivoted at point P. When the rod is perfectly horizontal, the angle 0 = 0, the displacement y 0, and the springs are in neither tension nor compression. Gravity acts on the system (e.g. on mass M). We assume that y is a small displacement. A mass M is attached at the end of the rod. DE only 225 Your tasks: X k 0 3k a F a M y A Derive an equation of motion for the system in terms of the angular displacement 0, and its derivatives (you should not have y or its derivatives in this equation.) B Derive an equation of motion for the system in terms of the displacement y, and its derivatives (you should not have or its derivatives in this equation. C Assuming there is no external actuator force F acting on the system, write down the total energy H of the system in terms of 0,0 and element constants. Derive an expression for the time derivative H of the total energy. D Transform the equation from part B, which is in y, to another…
A 30kg mass is tied to a uniform rod whose mass and length are 80-kg and 8-m, as shown below. The rod is attached to the floor via a hinge and makes an angle of 70° relative to the ground; a massless string is also attached to the rod at the ¼ point of the rod and makes an angle of 20° relative to the horizontal. What tension must be provided by the rope so that the system remains in stationary? If at some point the string breaks, what will be the angular acceleration of the system the instant that the string breaks?
Calculate the length of two springs when 35kg of mass is removed.
A small particle with mass m is tied to a light rod (assume no mass) with length l.The rod is tied at the other end with a ball and socket joint with no friction. The rod is held in place in a horizontal position with a spring. The spring has a stiffness coefficient of k. Parallel to the spring is a dashpot. The rod is then pulled down below the equilibrium point, such that the rod creates an angle theta with the equilibrium point. The rod is held in this place before being released. Decide the damping coefficient c such that the oscillation will be a critically damped oscillation
1.4 The locomotive of a train can exert a maximum pull of 300 kN. The locomotive has a mass of 85 000 kg and the train a mass of 420 000 kg. Consider that the train is running up on an incline of 1 in 300 and the resistances to motion is 5.54 x 10-5 kN/kg Model the problem by drawing a free body diagram which suits to apply De Alembert's principle and calculate the maximum possible acceleration of the train. Suppose the train is running on a horizontal track with the acceleration of 0.4 m s?. By using De Alembert's principle, calculate the pull produced by the locomotive engine to get this acceleration. Assume the resistance to motion remains same as previous.
Solve the following problems completely. Include properly-labeled diagrams with complete formulas and equations. I will upvote
Q1. For a compressive helical spring which was made of alloy steel with (200MPA) yield stress, (90MPA) torsional shear stress, (80GPA) Modulus of Rigidity, (10) number of active coils, (220.6 N) maximum applied load to the spring. Determine the energy stored in the spring. Q2. For a specific spring where the load applied is 100 N, coil diameter is 4 mm, spring diameter is 20 mm. Calculate the point where the total shear stress induced in the spring is equal to zero. Q3. For a closed end cylinder where the inner radius is 20 mm and outer radius is 40 mm, and the internal pressure is 5 MPa. Determine the minimum and maximum stresses induced in the cylinder.
For clarity on the process I should use, as well as the solution. So far the formulas im considering is gravitational potential, kinetic.
Q2 / A belt drive consist of two V-belts in parallei, on grooved pulleys of the same size. The angle of the groove is 30". The cross - section area of each belt is 750 mm? and u is 0.12. The density of the belt material is 1.2 Mg/m' and the maximum safe stress in the material is 7 MN/m. Answer the following questions 1- The centrifugal tension in belts is . . (a) increases power transmitted (b) decreases power transmitted (e) have no effect on power transmitted (d) increases power transmitted up to a certain speed and then decreases