Find the MOI for a square o side L and mass M rotated about its center?
Find the MOI for a square o side L and mass M rotated about its center?
A square metal plate 0.180 m on each side is pivoted about an axis through point O at its center and perpendicular to the plate. Calculate the net torque about this axis due to the three forces shown in the figure if the magnitudes of the forces are F1 = 22.0 N, F2 = 26.0 N, and F3 = 11.0N.
A square hula-hoop of mass "m" and side "L" is placed on a hook. It is given a slight shove allowing it to oscillate as a physical pendulum about the hook. Given [m, L] Determine the period of oscillation.
i PROBLEM 3. A square block of mass m and side dimension b (as shown to the left) is vo given an initial velocity vo at a distance d b away from a small step at point 0. It slides towards O on a surface with friction m b coefficient u. It strikes the small step at point O and begins to rotate into an upright position. Assume that any impulses delivered are negligible and that the height of d...
A 0.74-m-diameter solid sphere can be rotated about an axis through its center by a torque of 10.8 m∗N which accelerates it uniformly from rest through a total of 150 revolutions in 16.0 s . What is the mass of the sphere? Express your answer to two significant figures and include the appropriate units.
Four masses, connected by massless rods, form a square of side 2.40 m, as shown. Find the center of mass of the system. 2.Ym ANSWER: For the arrangement in the previous problem, find the moment of inertia for rotation about the diagonal of the square that passes through the origin. ANSWER
A uniform thin wire of mass M is bent into the form of a square OPQR of side 2a. Show that the moment of inertia of the wire about an axis through O perpendicular to the plane of the square is 10Ma2/3 . The wire frame can rotate freely in the vertical plane about a smooth pivot at O. It is held with P vertically above O and is released from rest. Find the initial acceleration of the point P....
A thin rod of mass m and length l rests on a frictionless table and is struck at a point l/4 from its center of mass by a clay ball of mass m moving at speed v. The ball sticks to the rod. If the rod is free to pivot about a frictionless pin at its center, find the angular velocity of the rod after the collision. Also find the velocity of the point at the top of the rod...
A square block with mass m 50 kg uniformly distributed and side length L. Sm is connected to the edge of a table by a hinge. The hinge is at the bottom right corner of the block. A cable is attached to the top right corner of the block and to the table such that the cable forms an angle a 40 below the horizontal. Someone pulls the block with a force 250N to the left. Futis applied at the...
The figures to the right show a rod with length, \(l\), and mass, \(M\), on a frictionless table rotated an angle \(\theta\) from the horizontal. It is fix to the table by a pin through its center of mass, and can rotate freely about this pin. On the two ends of the rod are connected identical springs with spring constant, \(k\), and the equilibrium position of the springs is when \(\theta=0\). In this problem, \(\theta \ll 1 \mathrm{rad}\), and the...
10. A square loop (side a) is mounted on a vertical shaft and rotated at angular velocity w. A uniform magnetic field B points to the right. Find the emf for this alternating current generator. 2