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31 ch a 82- 30 B A? A 0,3 m m inialy carprasd by 0,1m relcased spring The bar be consthered slder rod M-30 Lg erngs (50...
D L/2 G L/2 B MO A uniform slender rod of mass M=10 kg and length...
D L/2 G L/2 B MO A uniform slender rod of mass M=10 kg and length L=3m, is hinged at A. The rod is held in a horizontal position against А the spring (k= 200kN/m) at G, the spring being in compression. When the rod is released from this horizontal position k Rigid (the spring is not connected to the rod), support it will rotate about the frictionless hinge Spring A in a vertical plane. Determine: support a. The minimum...
Sample Problem 6. The 30 kg slender rod is released from rest when θ-00 (when rod OA is in the horizontal position). The spring is unstretched at θ-00. A constant clockwise moment of 10 N-m is applie...
Sample Problem 6. The 30 kg slender rod is released from rest when θ-00 (when rod OA is in the horizontal position). The spring is unstretched at θ-00. A constant clockwise moment of 10 N-m is applied to the rod. A force, P, of 20 N is applied and is always perpendicular to the rod. Determine the angular velocity of the rod when θ- 750. (Use the work-energy or conservation of energy method). 2 m 10 N-mm k80 N/m 1.5...
2. (40 points) A soccer ball tester consists of a 15-kg slender rod AB with a 1.1-kg sim- ulated foot located at A and a torsional spring located at pin B. The torsional spring has a spring const...
2. (40 points) A soccer ball tester consists of a 15-kg slender rod AB with a 1.1-kg sim- ulated foot located at A and a torsional spring located at pin B. The torsional spring has a spring constant of k 910 N.m/rad and is unstretched when AB is its lowest position. Fig. 2 depicts the simulation. The length of AB is 0.9 m, and you can assume that the foot ban be modcled as a particle, Knowing that the velocity...
3. (30 pts) A sliding bar, shown below, has a length of 0.7 m and moves...
3. (30 pts) A sliding bar, shown below, has a length of 0.7 m and moves at 5.2 m/s to the right in a magnetic field of 0.6 T pointing into the page. The resistance between the two frictionless conducting rails along which the bar slides is 1.5 2. Х Х х х X х R V Х Х х х х Х х a) (15 pts) Work out the potential induced between the ends of the sliding rod and...
Problem 3: For the mechanism system as shown in Figure 3. The block A is moving down 0,3 m/s in initial condition. B...
Problem 3: For the mechanism system as shown in Figure 3. The block A is moving down 0,3 m/s in initial condition. Block A has mass of mA 75 kg. The cylinder B is considered a homogeneous solid and moves in frictionless bearings. The mass of cylinder B is m 85 kg and its radius is r 150 mm. Block C has mass of mc 145 kg. The kinetic coefficient of friction between block C and the mc 145 kg...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the ver...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a)...
2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency when Fa)-2sin10 c) Calculate the response of the system for F)-2sin10/, xo-0,-10 m/s. d) Calculate the response of the system for F)-108t), xo-0, -10 m/s. c) Calculate the response of the system for F(i)-2sin10+108(-2), x0-0, ao-10 m/s. nt Ft) Figure 1. Mass-spring system
2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency wh...
2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency when Fa)-2sin10 c) Calculate the response of the system for F)-2sin10/, xo-0,-10 m/s. d) Calculate the response of the system for F)-108t), xo-0, -10 m/s. c) Calculate the response of the system for F(i)-2sin10+108(-2), x0-0, ao-10 m/s. nt Ft) Figure 1. Mass-spring system
2. (30...
The figure below shows a uniform slender bar supported by cantilevers at A and C. At B a linear spring with stiffness K' is connected to an additional point mass 'm'. Note the physical pr...
The figure below shows a uniform slender bar supported by cantilevers at A and C. At B a linear spring with stiffness K' is connected to an additional point mass 'm'. Note the physical properties of the bar include cross sectional area A, Young's modulus E, second moment of area I, and, density ρ, and length AB-BC-L. 1. 2. Develop the matrix equation of motion for the FEM system in the model How many natural frequencies are in the system?...
answer 1 b) there is u lovu 4. In a spring experiment, the results were: Load...
answer 1
b) there is u lovu 4. In a spring experiment, the results were: Load (N) 0 1 2 3 4 5 6 7 Length (mm) 50 58 70 74 82 90 102 125 Extension (mm) a) What is the length of the spring when unstretched? b) Copy and complete the table. c) Plot a graph of extension : load. d) One of the results is wrong. Which is it? What do you think it should be? e) Mark...
D L/2 G L/2 B MO A uniform slender rod of mass M=10 kg and length L=3m, is hinged at A. The rod is held in a horizontal position against А the spring (k= 200kN/m) at G, the spring being in compression. When the rod is released from this horizontal position k Rigid (the spring is not connected to the rod), support it will rotate about the frictionless hinge Spring A in a vertical plane. Determine: support a. The minimum...
Sample Problem 6. The 30 kg slender rod is released from rest when θ-00 (when rod OA is in the horizontal position). The spring is unstretched at θ-00. A constant clockwise moment of 10 N-m is applied to the rod. A force, P, of 20 N is applied and is always perpendicular to the rod. Determine the angular velocity of the rod when θ- 750. (Use the work-energy or conservation of energy method). 2 m 10 N-mm k80 N/m 1.5...
2. (40 points) A soccer ball tester consists of a 15-kg slender rod AB with a 1.1-kg sim- ulated foot located at A and a torsional spring located at pin B. The torsional spring has a spring constant of k 910 N.m/rad and is unstretched when AB is its lowest position. Fig. 2 depicts the simulation. The length of AB is 0.9 m, and you can assume that the foot ban be modcled as a particle, Knowing that the velocity...
3. (30 pts) A sliding bar, shown below, has a length of 0.7 m and moves at 5.2 m/s to the right in a magnetic field of 0.6 T pointing into the page. The resistance between the two frictionless conducting rails along which the bar slides is 1.5 2. Х Х х х X х R V Х Х х х х Х х a) (15 pts) Work out the potential induced between the ends of the sliding rod and...
Problem 3: For the mechanism system as shown in Figure 3. The block A is moving down 0,3 m/s in initial condition. Block A has mass of mA 75 kg. The cylinder B is considered a homogeneous solid and moves in frictionless bearings. The mass of cylinder B is m 85 kg and its radius is r 150 mm. Block C has mass of mc 145 kg. The kinetic coefficient of friction between block C and the mc 145 kg...
A 3 m rigid bar AB is supported with a vertical translational spring at A and a pin at B The bar is subjected to a linearly varying distributed load with maximum intensity g Calculate the vertical deformation of the spring if the spring constant is 700 kN/m. (ans: 21.43 mm) 2. A steel cable with a nominal diameter of 25 mm is used in a construction yard to lift a bridge section weighing 38 kN. The cable has an...
2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency when Fa)-2sin10 c) Calculate the response of the system for F)-2sin10/, xo-0,-10 m/s. d) Calculate the response of the system for F)-108t), xo-0, -10 m/s. c) Calculate the response of the system for F(i)-2sin10+108(-2), x0-0, ao-10 m/s. nt Ft) Figure 1. Mass-spring system
2. (30 pts) Consider the system of Figure 1 (m-2 kg, k 50 N/m, 0-30°). a) Obtain the equation of motion. b) Compute the initial conditions such that the system oscillates at only one frequency when Fa)-2sin10 c) Calculate the response of the system for F)-2sin10/, xo-0,-10 m/s. d) Calculate the response of the system for F)-108t), xo-0, -10 m/s. c) Calculate the response of the system for F(i)-2sin10+108(-2), x0-0, ao-10 m/s. nt Ft) Figure 1. Mass-spring system
2. (30...
The figure below shows a uniform slender bar supported by cantilevers at A and C. At B a linear spring with stiffness K' is connected to an additional point mass 'm'. Note the physical properties of the bar include cross sectional area A, Young's modulus E, second moment of area I, and, density ρ, and length AB-BC-L. 1. 2. Develop the matrix equation of motion for the FEM system in the model How many natural frequencies are in the system?...
answer 1
b) there is u lovu 4. In a spring experiment, the results were: Load (N) 0 1 2 3 4 5 6 7 Length (mm) 50 58 70 74 82 90 102 125 Extension (mm) a) What is the length of the spring when unstretched? b) Copy and complete the table. c) Plot a graph of extension : load. d) One of the results is wrong. Which is it? What do you think it should be? e) Mark...
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