Reference no: EM13800968
1. As the skateboarder negotiates the surface shown, his mass-center speeds at θ = 0+, 45°, and 90° are 28 ft/sec, 20 ft/sec, and 0, respectively. Determine the normal force between the surface and the skateboard wheels if the combined weight of the person and the skateboard is 150 lb and his center of mass is 30 in. from the surface.
2. The barrel of a rifle is rotating in a horizontal plane about the vertical z-axis at the constant angular rate θ. = 0.5 radls when a 60-g bullet is fired. If the velocity of the bullet relative to the barrel is 600 m/s just before it reaches the muzzle A. determine the resultant horizontal side thrust P exerted by the barrel on the bullet just before it emerges from A. On which side of the barrel does P act?
3. The small object of mass m is placed on the rotating conical surface at the radius shown. If the coefficient of static friction between the object and the rotating surface is 0.8, calculate the maximum angular velocity ω of the cone about the vertical axis for which the object will not slip. Assume very gradual angular-velocity changes.
4. The slotted arm revolves in the horizontal plane about the fixed vertical axis through point 0. The 3-lb slider C is drawn toward 0 at the constant rate of 2 in /sec by pulling the cord S. At the instant for which r - 9 in., the arm has a counterclockwise angular velocity to = 6 rad/sec and is slowing down at the rate of 2 radisec2. For this instant, determine the tension T in the cord and the magnitude N of the force exerted on the slider by the sides of the smooth radial slot. Indicate which side, A or B, of the slot contacts the slider.
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Currently enjoys a patent monopoly
: Mirk Labs is a pharmaceutical company that currently enjoys a patent monopoly in Europe, Canada, and the United States on Zatab, an allergy medication. The global demand for Zatab is: Qd = 15.0 0.2P where Qd is annual quantity demanded (in millions o..
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Based on the standard labor demand model
: Based on the standard labor demand model, in the long run, what do you expect to be the scale and substitution effects of a decrease in r (the price of capital) on the amount of labor demanded? What is the predicted total effect?
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Total cost function derive the average total cost
: Assuming that price of labor (L) and capital (K) are 12 and 3, respectively. One manufacturing company is facing production function given as Q=LK. derive your total cost function. Based on your total cost function, derive the average total cost.
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Calculate the maximum angular velocity of the cone
: If the coefficient of static friction between the object and the rotating surface is 0.8, calculate the maximum angular velocity ω of the cone about the vertical axis for which the object will not slip. Assume very gradual angular-velocity changes
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Voice and tone can enhance the scholarly image
: Do the voice and tone of doctoral writing differ from the voice and tone of writing at other academic levels? Explain your view. What are some ways that voice and tone can enhance the scholarly image of your writing? Explain.
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Inelastic labor demand based on that particular rule
: For each of Marshall’s four rules of derived labor demand, come up with one example of an industry or job that you would expect to have especially elastic or inelastic labor demand based on that particular rule.
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Behavior and attitudes of organizational members
: Analyze methods used to improve the behavior and attitudes of organizational members and propose processes to build teams and manage their different stages of development
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Standard of living of chinese people compared to those in us
: China will almost certainly overtake the US in terms of GDP within a decade or so. What does that tell you about the standard of living of Chinese people compared to those in the US?
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