Apiece of modern sculpture consists of an 8.0-m-long, 150 kg stainless steel bar passing diametrically through a 40 kg copper sphere. the center of the sphere is 2.0 m from one end of the bar. to be mounted for display, the bar is oriented vertically, with the copper sphere at the lower end, then tilted 35∘ from vertical and held in place by one horizontal steel cable attached to the bar 2.0 m from the top end. what is the tension in the cable?

Arescue plane flying horizontally at spots a survivor in the ocean directly below and releases an emergency kit with a parachute. because of the shape of the parachute, it experiences insignificant horizontal air resistance. if the kit descends with a constant vertical acceleration of, how far away from the survivor will it hit the waves?

Acar drives toward the right over the top of a hill, as shown below. which arrow represents the centripetal acceleration? w x y z

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.