A bar of mass M=2kg and length of .8 meters rotates about one of its endpoints...

Question

Question

A bar of mass M=2kg and length of .8 meters rotates about one of its endpoints with a constant angular velocity 88 rad/s

a) what is the kinetic energy of the system

b) what is the speed of the tip (given I=1/3 ML^2)

science physics

Answer 1

Answer #1

Here,

M = 2 Kg

L = 0.80 m

w = 88 rad/s

a) moment of inertia , I = 1/3 ML^2

kinetic energy of the system = 0.50 * I * w^2

kinetic energy of the system = 0.50 * 1/3 ML^2 * w^2

kinetic energy of the system = 0.50/3 * 2 * 0.80^2 * 88^2

kinetic energy of the system = 1652 J

b)

speed of the tip = L * w

speed of the tip = 88 * 0.80 m/s

speed of the tip = 70.4 m/s

Add a comment

Answer 2

Similar Homework Help Questions

A uniform rod of mass 3.00x10-2kg and length 0.420m rotates in a horizontal plane about a...

A uniform rod of mass 3.00x10-2kg and length 0.420m rotates in a horizontal plane about a fixed axis through its center and perpendicular to the rod. Two small rings, each with mass 0.170kg , are mounted so that they can slide along the rod. They are initially held by catches at positions a distance 5.50x10-2m on each side from the center of the rod, and the system is rotating at an angular velocity 27.0rev/min . Without otherwise changing the system,...
A rod without a mass is 2 meters in length. On each end of the rod...

A rod without a mass is 2 meters in length. On each end of the rod is a 2kg mass. (a) Calculate the moment of inertia of this rod about an axis that is perpendicular to the center of the rod. (b) Find its angular momentum if the rod rotates through that same axis with an angular velocity of 10 rad/s.
A light rod of length ℓ = 1.00 m rotates about an axis perpendicular to its...

A light rod of length ℓ = 1.00 m rotates about an axis perpendicular to its length and passing through its center as in the figure below. Two particles of masses m1 = 4.80 kg and m2 = 3.00 kg are connected to the ends of the rod. (a) Neglecting the mass of the rod, what is the system's kinetic energy when its angular speed is 2.20 rad/s? J (b) Repeat the problem, assuming the mass of the rod is...

A uniform rod of mass 2.00 kg and length 2.00 m is capable of rotating about...

A uniform rod of mass 2.00 kg and length 2.00 m is capable of rotating about and passing through its center and perpendicular to its length. A mass m, m, 2.70 kg is attached to the other end of the red treat the two massess point partides. 5.50 kg is attached to one end and a seconds (a) What is the moment of inertia of the system in kg.my (6) If the rod rotates with an angular speed of 2.60...
1a. A cockroach of mass m lies on the rim of a uniform disk of mass...

1a. A cockroach of mass m lies on the rim of a uniform disk of mass 9.00 m that can rotate freely about its center like a merry-go-round. Initially the cockroach and disk rotate together with an angular velocity of 0.456 rad/s. Then the cockroach walks halfway to the center of the disk. (a) What then is the angular velocity of the cockroach-disk system? (b) What is the ratio K/K0 of the new kinetic energy of the system to its...
A rigid, uniform bar with mass m and length b rotates about the axis passing through the midpoint of the bar perpendicu...

A rigid, uniform bar with mass m and length b rotates about the axis passing through the midpoint of the bar perpendicular to the bar. The linear speed of the end points of the bar is v. What is the magnitude of the angular momentum L of the bar? Express your answer in terms of m, b, v, and appropriate constants.

3 A homogeneous slender bar AB with length and mass M rotates around point A. At...

3 A homogeneous slender bar AB with length and mass M rotates around point A. At the position shown, bar AB has an angular velocity w = 0 and angular acceleration. The inertial force system could be A α F* w=0 M* B F* = MLa/2 M = M10/3 W a 0=0 "С M* B F = ML./2 M = M2/12 c. F* a o=0 C M* B 1* = ML0/2 M = ML°/12 F* α 0=0 с M* B
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y...

A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y plane. The disk rotates about the axis attached to the rod at a distance b from its axis of rotation. The absolute angular velocity of the rod is 2, and the angular velocity of the disk relative to the rod is @. Determine the ratio E/Ho of the kinetic energy E of...
1.A solid uniform sphere of mass 3.7 kg and radius 0.051 m rotates with angular velocity...

1.A solid uniform sphere of mass 3.7 kg and radius 0.051 m rotates with angular velocity 7.3 rad/s about an axis through its center. Find the sphere’s rotational kinetic energy. 2.A certain pulley is a uniform disk of mass 2.7 kg and radius 0.25 m. A rope applies a constant torque to the pulley, which is free to rotate without friction, resulting in an angular acceleration of 0.12 rad/s2. The pulley starts at rest at time t = 0 s....

A uniform slender bar of mass M = 3.2 kg and length L = 1.78 m...

A uniform slender bar of mass M = 3.2 kg and length L = 1.78 m is translating on the smooth horizontal x-y plane with a velocity vm= 1.80 m/s when a particle of mass m = 0.36 kg traveling with a velocity Vm=5.52 m/s as shown strikes and becomes embedded in the bar. Determine the final linear velocity of the center of mass of the system and the angular velocity of the bar with its embedded particle. 3L 4...