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Consider a homogeneous, isotropic beam.
1. Make a sketch (not to scale) of the deformed shape of a beam subject to a positive bending moment Mx and positive axial load Nx. Make sure your drawing shows the thickness of the beam; i.e., do not idealize the beam by a line.
2. On the same drawing, sketch the distribution of strain (not to scale).
3. On a similar drawing, sketch the distribution of stress (not to scale).
A wind turbine is initially spinning at a constant angular speed. As the wind's strength gradually increases, the turbine experiences a constant angular acceleration 0.179 rad/s2. Evaluate the initial angular velocity of the turbine
A 50.0 kg child stands at the rim of a merry-go-round of radius 1.65 m, rotating by an angular speed of 2.50 rad/s. What is the child's centripetal acceleration? What minimum coefficient of static friction is needed?
A teenager pushes tangentially on a small hand-driven merry-go-round and is able to accelerate it from rest to a frequency of 14rpm in 9.8s, What force is required at the edge
An elevator's cable snaps and its emergency brakes start gripping at the secondary line in order to slow its descent. How fast is the elevator going after falling 3 stories
A football player weighing 75 kg running at 2 m/s toward west tackles a 70 kg player running at 1.5 m/s in the opposite direction
A thin uniform wire is cut into segments and bent into the shapes shown above. Decide the location of the center of mass for each case geometrically by using symmetry arguments
A spring vibrates at 8 Hz when a weight of .82 kg is hung from it. What is the elastic constant of the spring
A planet's moon travels in an approximately circular orbit ofradius 9.0 107 m with a period of 6 h 34 min. Calculate the mass of the planet from this information
A pond with a flat bottom has a surface area of 698 m2 and a depth of 3.0 meter. Determine the rate at which energy is transferred by conduction from the surface to the bottom of the pond
Suppose 23.8 L of an ideal monatomic gas at a pressure of 2.60 105 kPa is expanded adiabatically (no heat transfer) until the volume is tripled. What is the pressure of the gas at the new volume
Object A is moving due east, while object B is moving due north. They collide and stick together in a completely inelastic collision. Momentum is conserved. Find the direction of the final velocity of the two-object system
A 3.0 kg block rests on a 30° slope and is attached by a string of negligible mass to a solid drum of mass 0.80 kg, What is the coefficient of friction between block and slope
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