A small collar is attached to a spring and slides without friction along a circular rod in a vertical plane. The spring has an undeformed length of and a spring constant of . What is the potential energy stored in the spring when the collar is at point B? Hint: convert inches to feet for consistent units!
Read DetailsA bucket full of ore is suspended from a traveling crane that moves along a stationary bridge. The crane is travelling at a speed of when it is brought to a sudden stop. To what angle from the vertical would the bucket swing to before coming to an instantaneous stop? Use . Enter a number correct to 2 decimal places with the angle specified in degrees.The answer will be between 20 degrees and 30 degrees.
Read DetailsA homogeneous sphere S, a uniform cylinder C, and a thin pipe P are in contact when they are released from rest on the inclined plane as shown in the figure below. All of the objects have the same mass . All three objects roll without slipping. Use . What is the acceleration of the center of mass of the uniform cylinder C?
Read DetailsA nozzle discharges a stream of water in the direction shown with an initial velocity of . What is the radius of curvature of the stream of water as it leaves the nozzle? Use . Also, observe how the angle is given carefully and use the appropriate trigonometry term to solve the problem. Enter a number correct to 2 decimal places and in units of .The answer will be between and .
Read DetailsA printer head, represented by the red square on the figure below, follows a path in Cartesian space described by the equation . When , the horizontal components of velocity and acceleration of the printer head are and respectively. What are the vertical components of its velocity and acceleration?
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