Midterm1 - 2010

# Midterm1 - 2010 - the distance from point C to where it...

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ME 324 – Spring 2010 Dynamics Midterm #1 Tuesday, February 23 - 6:30 – 8:30 PM Name: _____________________________ Discussion Section: ____________________ Instructions : 1) The exam is CLOSED book, apart from the class equation sheet. 2) Calculators are allowed. 3) Be very neat in writing up your solution and show all your work. 4) A box must be drawn around the final answer. 5) Do NOT separate the pages of the exam. Problem Possible Received 1 25 2 25 3 25 4 25 Total _

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1) (25 points) Two planes A and B are flying side by side at a constant speed of 900 km/hr. Maintaining this speed, plane A begins to travel along a spiral path r =1500 θ km, where θ is in radians. Plane B continues to fly in a straight line. Determine the velocity (magnitude and direction) of plane A with respect to plane B when r =750 km.
2) (25 Points) The 2-kg ball of negligible size is fired from point A with an initial velocity of 10 m/s up the smooth inclined plane. Determine

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Unformatted text preview: the distance from point C to where it hits the horizontal surface at D . Also, what is its velocity when it strikes the surface? 3) (25 points) Rod OA rotates counterclockwise with a constant angular velocity of ࣂ ሶ =5 rad/s. The double collar B is pin-connected together such that one collar slides over the rotating rod and the other slides over the horizontal curved rod, of which the shape is described by the equation r = 1.5(2-cos ) ft, where θ is in radians. If both collars weigh 0.75 lb, determine the normal force which the curved rod exerts on one collar at the instant =120 degrees. Neglect friction. 4) (25 Points) The 5-kg package is released from rest at A . It slides down the smooth plane which is inclined at 30 degrees, and then onto the rough surface having a coefficient of kinetic friction k = 0.2. Determine the total time of travel before the package stops sliding. Neglect the size of the package....
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Midterm1 - 2010 - the distance from point C to where it...

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