a small 50 g block slides down a frictionless surface through height h  20 cm and then sticks to a uniform rod of mass 100 g and length 40 cm.The rod pivots about point O through angle u before momentarily stopping. Find u.

The figure shows three 0.0186 kg particles that have been glued to a rod of length L=5.67 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? Axis (a) Number Units (b) Number Units

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A circular disc of mass M and radius R is rotating about its axis with angular speed ω1 . If another stationary disc having radius R/2 and same mass M is droped co-axially on to the rotating disc. Gradually both discs attain constant angular speed ω2. The energy lost in the process is p% of the initial energy. Value of p is

A non-uniform disk of mass M and radius R has its mass distributed in such a way that the mass per unit area is a function of the radial distance r from the center of the disk: σ(r) = b r , where b is a constant to be determined. What is the rotational inertia of this disk about an axis through the center of mass and perpendicular to the plane of the disk? The area differential can be written as a ring of radius r and thickness dr: dA = 2πrdr.

In the figure, a small 0.131 kg block slides down a frictionless surface through height h = 0.815 m and then sticks to a uniform vertical rod of mass M = 0.262 kg and length d = 2.20 m. The rod pivots about point o through angle before momentarily stopping. Find 0. A ₂ 0

Chapter 11, Problem 066 GO Your answer is partially correct. Try again. In the figure, a small 0.109 kg block slides down a frictionless surface through height h = 1.46 m and then sticks to a uniform vertical rod of mass M = 0.218 kg and length d = 1.55 m. The rod pivots about point O through angle e before momentarily stopping. Find 0. Number Units (degrees) em the tolerance is +/-2% em Click if you would like to Show Work for this question: Open Show Work

The figure shows three 0.0146 kg particles that have been glued to a rod of length L-5.58 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? (a) Number (b) Number Axis Units Units 0 m m m |a+d+d+

A uniform thin spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearings.  A massless cord passes around the equator of the shell, over a pulley of rotational inertia I and radius r, and is attached to a small object of mass m.  There is no friction on the pulley’s axle; the cord does not slip on the pulley.  Determine the expression for the speed of the object after it falls a distance h from rest.

A uniform rod of length 1.20 m and mass 2.00 kg is free to rotate about a frictionless axle through one end. From the horizontal position, the rod is released from rest. A small piece of putty of mass 0.500 kg is suspended from the pivot by a string of negligible mass and length 0.800 m, as shown in the figure below. The putty sticks to the rod on contact. Determine the amount of mechanical energy dissipated in the collision. 1.20 m 0.800 m putty