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A 10 kg plate is suspended from a solid circular rod. The rod length is 3m, has a radius of 5 mm ...
A solid circular plate has a mass of 0.25 kg and a radius of a 0.30...
A solid circular plate has a mass of 0.25 kg and a radius of a 0.30 m. It starts rolling from rest at the top of a hill 10 m long and inclined at 30 degrees to the horizontal. What will the speed of the plate be at the bottom of the hill if it rolls without slipping? Think of the plate as a short solid cylinder. A 2.7 m/s B 6.9 m/s C 8.1 m/s D 3.3 m/s E...
(a) Both tube and solid bar shown in Figure 3 are made of aluminium alloy with...
(a) Both tube and solid bar shown in Figure 3 are made of aluminium alloy with shear modulus of elasticity of 27 GPa. Analyse the structure and explain the type of stress experienced by the circular tube and solid circular bar. Determine the maximum shear stresses in both the bar and tube, and determine the angle of twist (in degrees) at end A of the bar. Given I tube = 1.0848 x 10 mm. 500 cm 500 cm Tube thickness...
A solid steel bar of circular cross section has diameter d = 40 mm, length L...
A solid steel bar of circular cross section has diameter d = 40 mm, length L = 1.3 m and shear modulus of elasticity G = 80 GPa. The bar is subjected to torques T acting at the ends. If the torques have magnitude T = 340 Nm, what is the maximum shear stress in the bar? What is the angle of twist between the ends? If the allowable shear stress is 42 MPa and the allowable angle of twist...
Figure 3 Uniform disk Uniform rod 3) Figure 3 illustrates a physical pendulum comprising a uniform disk having mass M and radius R and a rod having the length R and mass M. The disk is pivotally m...
Figure 3 Uniform disk Uniform rod 3) Figure 3 illustrates a physical pendulum comprising a uniform disk having mass M and radius R and a rod having the length R and mass M. The disk is pivotally mounted with a friction-less horizontal axis of rotation that extends through the center of mass of the disk. The rod is fixedly attached to the edge of the disk and it extends vertically downward when the pendulum is in a state of static...
Q-1 A solid circular rod with a diameter d = 18 mm is shown in Figure...
Q-1 A solid circular rod with a diameter d = 18 mm is shown in Figure Q-3. The rod is made of an aluminum alloy that has an elastic modulus E = 72 GPa and a Poisson's ratio v=0.32. When subjected to the axial load P, the diameter of the rod decreases by 0.025 mm. For a factor of safety of 1.75, a) Determine the magnitude of the safe allowable load P. pts.] b) If we have a 12 mm...
Q5). (17 pts). The circular Brass rod having a an inner radius r 8 mm and...
Q5). (17 pts). The circular Brass rod having a an inner radius r 8 mm and an outer radius = 10 mm, is pinned at each end to the centers of two Brass links, which have a width of 40 mm and a thickness of 12 mm (into the paper). If the temperature of the Brass rod is increased by 45 °C, determine; a) the normal stress in the Brass rod, b) the net change in the length of the...
According to machine elements 1 Q-1 A solid circular rod with a diameter d= 18 mm...
According to machine elements 1
Q-1 A solid circular rod with a diameter d= 18 mm is shown in Figure Q-3. The rod is made of an aluminum alloy that has an elastic modulus E = 72 GPa and a Poisson's ratio v = 0.32. When subjected to the axial load P, the diameter of the rod decreases by 0.025 mm. For a factor of safety of 1.75, a) Determine the magnitude of the safe allowable load P. [18 pts.]...
A solid circular shaft has a radius of 20 mm and length of 1.5 m. The...
A solid circular shaft has a radius of 20 mm and length of 1.5 m. The material has an elastic-plastic diagram as shown here. Determine the torque needed to twist the shaft 0 = 0.6 rad. T (MPa) y (rad) 0.0016 0.008
The pendulum consists of a 7-kg slender rod with length (L) of 1.2 m and it...
The pendulum consists of a 7-kg slender rod with length (L) of 1.2 m and it is fixed to a 16-kg disk with radius of 0.3 m. If the spring has an un-stretched length of 0.2 m and stiffness of 200 N/m, determine the angular velocity of the pendulum when it is released from rest and rotates clockwise 90° from the position shown. The roller at C allows the spring to always remain vertical. At θ-00, the stretched length of...
75 mm 1.5 m T = 48 N·m 2 m 150 mm Two solid steel 20-mm-diameter...
75 mm 1.5 m T = 48 N·m 2 m 150 mm Two solid steel 20-mm-diameter shafts are coupled together using the perfectly meshed gears shown. Shaft DC is fixed to the wall at D and supported with a frictionless journal bearing. Shaft EF is supported with two frictionless journal bearings. The modulus of rigidity of steel is 80 GPa. Before the torque is applied, the angle of twist in each shaft is zero, and the angle of rotation of...
(a) Both tube and solid bar shown in Figure 3 are made of aluminium alloy with shear modulus of elasticity of 27 GPa. Analyse the structure and explain the type of stress experienced by the circular tube and solid circular bar. Determine the maximum shear stresses in both the bar and tube, and determine the angle of twist (in degrees) at end A of the bar. Given I tube = 1.0848 x 10 mm. 500 cm 500 cm Tube thickness...
Figure 3 Uniform disk Uniform rod 3) Figure 3 illustrates a physical pendulum comprising a uniform disk having mass M and radius R and a rod having the length R and mass M. The disk is pivotally mounted with a friction-less horizontal axis of rotation that extends through the center of mass of the disk. The rod is fixedly attached to the edge of the disk and it extends vertically downward when the pendulum is in a state of static...
Q-1 A solid circular rod with a diameter d = 18 mm is shown in Figure Q-3. The rod is made of an aluminum alloy that has an elastic modulus E = 72 GPa and a Poisson's ratio v=0.32. When subjected to the axial load P, the diameter of the rod decreases by 0.025 mm. For a factor of safety of 1.75, a) Determine the magnitude of the safe allowable load P. pts.] b) If we have a 12 mm...
Q5). (17 pts). The circular Brass rod having a an inner radius r 8 mm and an outer radius = 10 mm, is pinned at each end to the centers of two Brass links, which have a width of 40 mm and a thickness of 12 mm (into the paper). If the temperature of the Brass rod is increased by 45 °C, determine; a) the normal stress in the Brass rod, b) the net change in the length of the...
According to machine elements 1
Q-1 A solid circular rod with a diameter d= 18 mm is shown in Figure Q-3. The rod is made of an aluminum alloy that has an elastic modulus E = 72 GPa and a Poisson's ratio v = 0.32. When subjected to the axial load P, the diameter of the rod decreases by 0.025 mm. For a factor of safety of 1.75, a) Determine the magnitude of the safe allowable load P. [18 pts.]...
A solid circular shaft has a radius of 20 mm and length of 1.5 m. The material has an elastic-plastic diagram as shown here. Determine the torque needed to twist the shaft 0 = 0.6 rad. T (MPa) y (rad) 0.0016 0.008
The pendulum consists of a 7-kg slender rod with length (L) of 1.2 m and it is fixed to a 16-kg disk with radius of 0.3 m. If the spring has an un-stretched length of 0.2 m and stiffness of 200 N/m, determine the angular velocity of the pendulum when it is released from rest and rotates clockwise 90° from the position shown. The roller at C allows the spring to always remain vertical. At θ-00, the stretched length of...
75 mm 1.5 m T = 48 N·m 2 m 150 mm Two solid steel 20-mm-diameter shafts are coupled together using the perfectly meshed gears shown. Shaft DC is fixed to the wall at D and supported with a frictionless journal bearing. Shaft EF is supported with two frictionless journal bearings. The modulus of rigidity of steel is 80 GPa. Before the torque is applied, the angle of twist in each shaft is zero, and the angle of rotation of...
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