A bucket full of ore is suspended from a traveling crane tha…

A 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.

A homogeneous sphere S, a uniform cylinder C, and a thin pip…

A 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? 

A printer head, represented by the red square on the figure…

A 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?