GATE (CE) : Engineering Mechanics & Design of Steel Structures #4 (App update required to attempt this test)

The time period of oscillation of following spring mass system is

The Centre of gravity of lamina shown in figure below lie at the O, where O is the mid point at the base of rectangle. Determine the height of the rectangle.

A body goes from point A to B on a semicircle of radius 1 m in 1 sec. The average speed & average velocity are

The total kinetic energy (in Joules) of a hoop of mass 3 kg and radius 5 m sliding with linear velocity 6 m/s and angular velocity 4 radian/sec is

An area is enclosed by a curve y =ax² and x axis as shown in figure. What will be the x coordinate of the centroid of the area if a = 10 and b = 8?