Why does a uniform wooden stick or log float horizontally ? If enough iron is added to one end, it will float vertically , explain also.

Why does an iron ship float on water ?

A uniform rod is rotating about a horizontal axis as shown. The rod is hinged at one of the ends. The rod is released from a vertical position by slightly pushing it. As the rod moves from A to B

Why does an iron needle float on clean water but sink when some detergent is added to this water?

One end of each of two identical springs, each of force constant 0.5N//m are attached on the opposite sides the a wooden block of mass 0.01kg . The other ends of the spring are connected to separate rigid supports such that the springs are unstrtched and are collinear in a horizontal plane. To the wooden piece is fixed a pointer which touches a vertically moving plane paper. The wooden piece kept on a smooth horizontal table is now displaced by 0.02m along the line of springs and released. If the speed of paper is 0.1m//s , find the equation of the path traced by the pointer on the paper and the distance between two consecutive maximum on this path.

A uniform cylindrical body when placed in liquid a floats with one third of its length outside the liquid. When placed in liquid B, it floats with one third of its length immersed in the liquid. When the body is made to float vertically in a homogeneous mixture of equal volumes of the two liquids, 25 cm of its length is seen in air. Find the length of the body.

A uniform rod of length 4 m and mass 20 kg is lying horizontal on the ground. The work done in keeping it vertical with one of its ends touching the ground, will be -

A uniform speing is kept on a horizontal frictionless floor such that one end is fixed to a vertical wall and other end if free. Mass of the speing is m. At the instant. Shown in figure veloity of free end is v and length of the speing is L. Assumign that speed varies linearly from zero to v, the kinetic energy of the spring will be

Consider a uniform rod of mass M and length L is hinged at one end as shown. Initially the rod is vertical, it is slightly pushed and released. Find the angular velocity of rod and liner velocity of its one end when the rod becomes horizontal. Also calculate angular velocity of rod when it has rotated by an angle theta ( thetalt90^(@) ).