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Learning Goal: To be able to calculate the velocity and the angle of trajectory of an...
Learning Goal: Part A = 10 m ? To calculate the normal and tangential components of...
Learning Goal: Part A = 10 m ? To calculate the normal and tangential components of the acceleration of an object along a given path. A particle is traveling along the path y(x) = 0.3z?, as shown in (Figure 1), where y is in meters when is in meters. When I 10 m, the particle's velocity is v = 17 m/s and the magnitude of its acceleration is a = 1.6 m/s . Determine the normal and tangential components of...
Part A Learning Goal: To calculate the normal and tangential components of the acceleration of an...
Part A Learning Goal: To calculate the normal and tangential components of the acceleration of an object along a given path. A particle is traveling along the path y(x) = 0.3x2, as shown in (Figure 1), where y is in meters when x is in meters. When 3 = 5 m, the particle's velocity is v = 15 m/s and the magnitude of its acceleration is a = 11 m/s2 Determine the normal and tangential components of the acceleration What...
Learning Goal: To determine the angle of twist for a circular shaft that is composed of...
Learning Goal: To determine the angle of twist for a circular shaft that is composed of varying cross sections and that is subjected to a given power and frequency load. As shown, a shaft is composed of five cylindrical sections. A motor is attached at Fand supplies the shaft with P = 235.0 hp at a speed of w = 1800 rpm. This power is transferred through the shaft without any loss and is completely removed by the pulley at...
Learning Goal: To be able to find the center of gravity, the center of mass, and...
Learning Goal: To be able to find the center of gravity, the center of mass, and the centroid of a composite body. A centroid is an object's geometric center. For an object of uniform composition, its centroid is also its center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into regular shaped segments, and then by calculating the weighted average of the segments' centroids. An object is made from a uniform...
Find magnitude of velocity and acceleration at t=1 Part A Learning Goal To be able to calculate position, velocity, and...
Find magnitude of velocity and acceleration at
t=1
Part A Learning Goal To be able to calculate position, velocity, and acceleration of an object in curvilinear motion using a rectangular coordinate system. A car drives on a curved road that goes down a hill. The car's position is defined by the position vector An object's motion can be described along a path represented by a fixed x, y, z coordinate system. In such a system, the position vector, r, is...
Part A - Maximum allowable pressure in the cylindrical pressure vessel Learning Goal: To calculate the...
Part A - Maximum allowable pressure in the cylindrical pressure vessel Learning Goal: To calculate the maximum allowable stresses in pressure vessels, compute the minimum allowable thickness of pressure vessels to meet certain constraints, and observe and compare properties of different pressure vessel shapes. Engineers are considering two possible vessel shapes for storing fuel. One shape is cylindrical and the other is spherical. Each vessel would be constructed out of the same material such that its hoop stresses and longitudinal...
Learning Goal: Part A - Force with a known deflection To solve for forces in statically...
Learning Goal: Part A - Force with a known deflection To solve for forces in statically indeterminate bars with axial loads. When the number of reaction forces is greater than the number of equilibrium equations, the system is slatically indeterminate. Solving for the reactions requires some additional equations. These additional equations come from considering compatibility relationships (.e., continuity of displacements and relationships between displacements and loads). For an axially loaded member, the compatibility relationship for the deflections can be written...
Review Part B Learning Goal: To be able to use the parallel-axis theorem to calculate the...
Review Part B Learning Goal: To be able to use the parallel-axis theorem to calculate the moment of inertia for an area. The parallel-axis theorem can be used to find an area's moment of inertia about any axis that is parallel to an axis Figure 2 of 3 > As shown, a rectangle has a base of b = 5.10 ft and a height of h = 2.90 ft (Figure 2) The rectangle's bottom is located at a distance yı...
Learning Goal: To determine the angle of twist on a composite rod given the geometry and...
Learning Goal: To determine the angle of twist on a composite rod given the geometry and externally applied torques, to properly apply a sign convention to determine the angle of twist, to use a torque diagram to aid in determining the angle of twist, and to determine the maximum applicable torque given a maximum allowable angle of twist. The rod shown below is made of two different materials. Segment AB is made of aluminum (G=27 GPa). Segment BC is bonded...
Learning Goal: To use the superposition principle to find the state of stress on a beam...
Learning Goal: To use the superposition principle to find the state of stress on a beam under multiple loadings. The beam shown below is subjected to a horizontal force P via the rope wound around the pulley. The state of stress at point A is to be determined. P 1d4 di dz d2 20 mm T 100 mm 200 mm 15 mm 20 mm 150 mm The dimensions are di = 1.85 m, d2 = 0.5 m, dz = 0.9...
Learning Goal: Part A = 10 m ? To calculate the normal and tangential components of the acceleration of an object along a given path. A particle is traveling along the path y(x) = 0.3z?, as shown in (Figure 1), where y is in meters when is in meters. When I 10 m, the particle's velocity is v = 17 m/s and the magnitude of its acceleration is a = 1.6 m/s . Determine the normal and tangential components of...
Part A Learning Goal: To calculate the normal and tangential components of the acceleration of an object along a given path. A particle is traveling along the path y(x) = 0.3x2, as shown in (Figure 1), where y is in meters when x is in meters. When 3 = 5 m, the particle's velocity is v = 15 m/s and the magnitude of its acceleration is a = 11 m/s2 Determine the normal and tangential components of the acceleration What...
Learning Goal: To determine the angle of twist for a circular shaft that is composed of varying cross sections and that is subjected to a given power and frequency load. As shown, a shaft is composed of five cylindrical sections. A motor is attached at Fand supplies the shaft with P = 235.0 hp at a speed of w = 1800 rpm. This power is transferred through the shaft without any loss and is completely removed by the pulley at...
Learning Goal: To be able to find the center of gravity, the center of mass, and the centroid of a composite body. A centroid is an object's geometric center. For an object of uniform composition, its centroid is also its center of mass. Often the centroid of a complex composite body is found by, first, cutting the body into regular shaped segments, and then by calculating the weighted average of the segments' centroids. An object is made from a uniform...
Find magnitude of velocity and acceleration at
t=1
Part A Learning Goal To be able to calculate position, velocity, and acceleration of an object in curvilinear motion using a rectangular coordinate system. A car drives on a curved road that goes down a hill. The car's position is defined by the position vector An object's motion can be described along a path represented by a fixed x, y, z coordinate system. In such a system, the position vector, r, is...
Part A - Maximum allowable pressure in the cylindrical pressure vessel Learning Goal: To calculate the maximum allowable stresses in pressure vessels, compute the minimum allowable thickness of pressure vessels to meet certain constraints, and observe and compare properties of different pressure vessel shapes. Engineers are considering two possible vessel shapes for storing fuel. One shape is cylindrical and the other is spherical. Each vessel would be constructed out of the same material such that its hoop stresses and longitudinal...
Learning Goal: Part A - Force with a known deflection To solve for forces in statically indeterminate bars with axial loads. When the number of reaction forces is greater than the number of equilibrium equations, the system is slatically indeterminate. Solving for the reactions requires some additional equations. These additional equations come from considering compatibility relationships (.e., continuity of displacements and relationships between displacements and loads). For an axially loaded member, the compatibility relationship for the deflections can be written...
Review Part B Learning Goal: To be able to use the parallel-axis theorem to calculate the moment of inertia for an area. The parallel-axis theorem can be used to find an area's moment of inertia about any axis that is parallel to an axis Figure 2 of 3 > As shown, a rectangle has a base of b = 5.10 ft and a height of h = 2.90 ft (Figure 2) The rectangle's bottom is located at a distance yı...
Learning Goal: To determine the angle of twist on a composite rod given the geometry and externally applied torques, to properly apply a sign convention to determine the angle of twist, to use a torque diagram to aid in determining the angle of twist, and to determine the maximum applicable torque given a maximum allowable angle of twist. The rod shown below is made of two different materials. Segment AB is made of aluminum (G=27 GPa). Segment BC is bonded...
Learning Goal: To use the superposition principle to find the state of stress on a beam under multiple loadings. The beam shown below is subjected to a horizontal force P via the rope wound around the pulley. The state of stress at point A is to be determined. P 1d4 di dz d2 20 mm T 100 mm 200 mm 15 mm 20 mm 150 mm The dimensions are di = 1.85 m, d2 = 0.5 m, dz = 0.9...
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