The figure below shows four objects at the corners of a rectangle, connected by rods of negligible mass. The center of the rectangle lies at the origin of an xy-coordinate system. The width of the rectangle (along the x-axis) is 4.00 m, and the height (along the y-axis) is 6.00 m. Starting at the top left and going clockwise, the masses of the objects are m, = 3.50 kg, m2 = 2.50 kg, m3 = 4.30 kg, and m, = 1.90 kg. m, m2 6.00 m m3 + 4.00 m→ (a) What is the moment of inertia (in kg • m2) of the system about the x-axis? kg • m2 (b) What is the moment of inertia (in kg · m2) of the system about the y-axis? kg • m (c) What is the moment of inertia (in kg · m2) of the system about an axis through O and perpendicular to the page (that is, the z-axis)? kg · m2

The figure below shows four objects at the corners of a rectangle, connected by rods of negligible mass. The center of the rectangle lies at the origin of an xy-coordinate system. The width of the rectangle (along the x-axis) is 4.00 m, and the height (along the y-axis) is 6.00 m. Starting at the top left and going clockwise, the masses of the objects are m, = 3.50 kg, m2 = 2.50 kg, m3 = 4.30 kg, and m, = 1.90 kg. m, m2 6.00 m m3 + 4.00 m→ (a) What is the moment of inertia (in kg • m2) of the system about the x-axis? kg • m2 (b) What is the moment of inertia (in kg · m2) of the system about the y-axis? kg • m (c) What is the moment of inertia (in kg · m2) of the system about an axis through O and perpendicular to the page (that is, the z-axis)? kg · m2

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Consider the following vectors: A = 1.2i + 4.9j + 3.7k B = -8.5i + 7.5j + 8.3k Part (a) What is the x-component of the vector V = 3(A × 2B)? Part (b) What is the y-component of the vector V = 3(A × 2B)? Part (c) What is the z-component of the vector V = 3(A × 2B)? Part (d) What is the magnitude of the vector V?
The figure shows a container of mass m₁ = 1.7 kg connected to a block of mass m₂ by a cord looped around a frictionless pulley. The cord and pulley have negligible mass. When the container is released from rest, it accelerates at 1.0 m/s² across the horizontal frictionless surface. What are (a) the tension in the cord and (b) mass m₂? (a) Number (b) Number i Units Units m₁ mq >
Problem 4: Vector Addition. Vector A = 200 NZ45° counterclockwise from the z axis, and vector B = 300 N 270° counterclockwise from the y axis. Find the resultant R= A + B by addition of scalar components. Problem 5: Consider the picture below. Find the tension T, tension Ta tension T₂
F5+F6+F7= -0.117i + 0.059j what would be the polar coordinates of this vector.
A chandelier hangs h = 0.74 m down from two chains of equal length. The chains are separated from one another by a length L = 0.85 m at the ceiling. The chandelier has a mass of m = 28 kg. What is the angle, θ in degrees, between one of the chains and the vertical where it contacts the chandelier?
In the diagram, the dashed lines are parallel to the x axis. The magnitudes of y the vectors are A = 10.7, B = 4.1, C = 11.4, D= 22.5, and F = 22.5. The angles, in degrees, are 0A = 30.0, OB = 53.0, 0c = 60.0, 0D = 37.0, and 0F = 30.0. In this problem, you will be asked to calculate the value of a variety of cross products. х : Text OF
A force ₁ of magnitude 4.90 units acts on an object at the origin in a direction 8 = 34.0° above the positive x-axis. (See the figure below.) A second force 2 of magnitude 5.00 units acts on the object in the direction of the positive y-axis. Find graphically the magnitude and direction of the resultant force ₁ + 72. 1 (No Response) units magnitude direction (No Response) ° counterclockwise from the +x-axis 0
A leashed chihuahua is held by its owner in a park. The dog is walking and undergoes a displacementi = (0. 5 m)î + (1.8 m)j. If the tension in the leash is T = (-10.0î + 7.8ĵ)N. What is the angle between the two vectors?
For Problems 1 and 2, use the following formula to describe the magnitude of a drag force: 1 D = — -CA pv² 2 FD Problem 1: When a car is traveling at a speed of 30 km/h, it experiences a drag force of magnitude F. If the car increases its speed to 40 km/h, what then will be the drag force it experiences? Assume the drag force is proportional to the square of speed.
For the following displacement vectors in meters: A = +4.0 - 5.0k, B=-3.0 +2.0k, and C= -3.0-2.0 +1.0k. Calculate (a) A −2B +3C, (b) A-B, (c) the angle between A and B, and (d) A × (B+C).
Given p = 3i + 2j - k and q = -3i + j + 5k find (a) 2q - p ANSWER : Answer i + Answer j + Answer k (b) p . q (scalar product) ANSWER: Answer (c) The angle θ between p and q ANSWER: Answer *answer in TWO decimal point (d) p x q (vector product) ANSWER : Answer i + Answer j + Answer k
Three forces are applied to an object, as shown in the figure. Force F₁ has a magnitude of 23.0 newtons (23.0 N) and is directed 30.0° to the left of the +y axis. Force F₂ has a magnitude of 15.0 N and points along the +x axis. What must be the (a) magnitude and (b) direction (specified by the angle in the drawing) of the third force F3 such that the vector sum of the three forces is ON? (a) Number (b) Number i Units Units HE 30.0 F2+5