The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.600 kg and its length is 2.00 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown.(a) Determine the speed of its center of gravity at its lowest position. Consider the conservation of energy of the center of mass of the rod. What is the relationship between angular and tangential velocities? m/s

The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.600 kg and its length is 2.00 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown.(a) Determine the speed of its center of gravity at its lowest position. m/s(b) When the rod reaches the vertical position, calculate the tangential speed of the free end of the rod.

A 3.05-kg object is attached to a vertical rod by two strings as shown in the figure below. The object rotates in a horizontal circle at constant speed 6.90 m/s.An object of mass m attached to a vertical rod by two strings each of length 2.00 m is shown. One of the strings is attached to the top of the rod and the other string is attached to the bottom. The distance between where the strings are attached is labeled 3.00 m. The object is rotating away from the rod along a horizontal circular path around the center of the rod.(a) Find the tension in the upper string. N(b) Find the tension in the lower string. Your response differs from the correct answer by more than 10%. Double check your calculations. N

Rigid rods of negligible mass lying along the y axis connect three particles (Fig. P10.20). The system rotates about the x axis with an angular speed of 3.70 rad/s.Figure P10.20(a) Find the moment of inertia about the x axis. kg·m2Find the total rotational kinetic energy evaluated from 1/2 I𝜔2. J(b) Find the tangential speed of each particle. m/s (4.00 kg particle) m/s (2.00 kg particle) m/s (3.00 kg particle)Find the total kinetic energy evaluated from mi vi2/2. J

1. The bent rod has a mass p per unit length and rotates about the z-axis with an angularvelocity ur. Determine the angular momentum L of the rod about the fixed origin of theaxes, which are attached to the rod. Also find the kinetic energy T of the rod I KineticEnergy is given by: I=ll2 a. L I (the dot product of o and L)

A slender rod of mass m = 3 kg has a length L. At the top end of the rod a particle of mass2m is attached. The rod is nudged and it rotates clockwise about O through 1800 at whichpoint the angular velocity is 8 rad/s.What is the value of L?