The drawing shows two identical systems of objects; each consists of the same three small balls connected by massless rods. In both systems the axis is perpendicular to the page, but it is located at a different place, as shown. The same force of magnitude Fis applied to the same ball in each system (see the drawing). The masses of the balls are m₁ = 9.4 kg, m₂ = 6.9 kg, and m3 = 7.7 kg. The magnitude of the force is F = 495 N. (a) For each of the two systems, determine the moment of inertia about the given axis of rotation. (b) Calculate the torque (magnitude and direction) acting on each system. (c) Both systems start from rest, and the direction of the force moves with the system and always points along the 4.00-m rod. What is the angular velocity of each system after 5.39 s?

The drawing shows two identical systems of objects; each consists of the same three small balls connected by massless rods. In both systems the axis is perpendicular to the page, but it is located at a different place, as shown. The same force of magnitude Fis applied to the same ball in each system (see the drawing). The masses of the balls are m₁ = 9.4 kg, m₂ = 6.9 kg, and m3 = 7.7 kg. The magnitude of the force is F = 495 N. (a) For each of the two systems, determine the moment of inertia about the given axis of rotation. (b) Calculate the torque (magnitude and direction) acting on each system. (c) Both systems start from rest, and the direction of the force moves with the system and always points along the 4.00-m rod. What is the angular velocity of each system after 5.39 s?

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter3: Force And Motion

Section: Chapter Questions

Problem QM

See similar textbooks

Similar questions

A three-legged structure is shown below. It is attached to the ground at points B = (3.72 , 0, 0) and C = (−3.72, 0, 0) and connected to the ceiling at point A = (−4.50 , 4.03 , 5.00). The three legs connect at point D = (0, 3.15, 4.00) where two forces, F and P, act. Force F is given by F=10.0 i−12.5 j+25.2 k N; P has magnitude 50.0 N and direction angles α=110.0∘ β=29.5∘, and γ=69.3∘ for the x, y, and z axes, respectively. (This is if you need it) Find the Cartesian components of force P acting in the x, y, and z directions given P=50.0 N, α=110.0∘, β= 29.5∘, and γ=69.3∘. Recall that α is the angle between the vector and the x axis, β is the angle between the vector and the y axis, and γ is the angle between the vector and the z axis. the first part is equal -17.1 i N, 43.5 j N and 17.7 k N Question i need is to find the angle delta between F and P (The first part has already been solved but might be neccessary)
A system consists of three masses connected by light (effectively massless) rigid rods. The first, m1 = 3.00 kg is at a distance of 2.75 m along the y axis. The second, m2 = 4.00 kg is at a distance of 2.50 m along the x axis. A final mass, m3 = 2.50 kg, is placed at (-4.00, -3.30) m and connected to m1 and m2 so that the resulting center of mass of the system is at the origin. The entire system rotates about the origin. A force with a constant magnitude of 2.9 N is applied leftwards on m1. And a force of 9.7 N is applied downwards on m2. What is the resultant angular acceleration of the system about the origin, if angular acceleration out of the page is considered positive?
Which of the following ARE correct? a.If net force is zero, angular momentum is conserved. b.if net force is zero, linear momentum is conserved. c.if net torque is zero, angular momentum is conserved. d.If net torque is zero, linear momentum is conserved.
An object is made up of three masses connected by massless rods of fixed length. Mass A is located at (30.0 cm, 0 cm) and has a mass of 250 grams, mass B is located at (0 cm, 30.0 cm) and has a mass of 350 grams, mass C is located at (-30.0 cm, 0 cm) and has a mass of 450 grams. What is the moment of inertia of this object about an axis perpendicular to the x-y plane and passing through the origin?
The coefficient of friction between mass m 1 and the surface is 0.15. The pulley is a disk and has a radius of 0.100 m and a mass of 0.25 kg. m 1 = 10.0 kg, m 2 = 20.0 kg.If the system is released from rest, find the final speed of each block when the hanging mass falls 2.0 m. ( I(disk)= 1/2 m R 2 )
A man (weighing 915 N) stands on a long railroad flatcar (weighing 2415 N) as it rolls at 18.2 m/s in the positive direction of an x axis, with negligible friction.Then the man runs along the flatcar in the negative x direction at 4.00 m/s relative to the flatcar. What is the resulting increase in the speed of the flatcar?
You hold a softball with a weight of 1.80 N in your hand as shown in the figure. Your arm is moving, but at the instant shown, your arm is horizontal. Consider your forearm and hand to be a uniform rod with a mass of 1.65 kg and the distance between your elbow joint and the ball in your hand is 2L = 26.0 cm. Your biceps exerts an upward, vertical force of 13.5 N on your forearm and is attached a distance of d = 2.60 cm from your elbow. (a) Using your elbow joint as the axis of rotation, determine the magnitude of the net torque acting about your elbow due to the weight of your forearm/hand, the weight of the ball, and the force applied by your bicep. N · m (b) In which direction will your forearm and hand rotate, given the signed value of the net torque calculated in part (a)? clockwise counterclockwise no rotation
A block of mass m1 = 1.50 kg and a block of mass m2 = 6.25 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of ? = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. (b) Determine the acceleration of the two blocks. (Enter the magnitude of the acceleration.)
A uniform disk with mass m = 8.57 kg and radius R = 1.36 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 338 N at the edge of the disk on the +x-axis, 2) a force 338 N at the edge of the disk on the –y-axis, and 3) a force 338 N acts at the edge of the disk at an angle θ = 31° above the –x-axis. 1) What is the x-component of the net torque about the z axis on the disk? 2) What is the magnitude of the angular acceleration about the z axis of the disk? 3) If the disk starts from rest, what is the rotational energy of the disk after the forces have been applied for t = 1.6 s?
Modeled after the triatomic molecule problem that is let's consider the three atoms composing the molecule have different masses and coordinate, while the axis of rotation is still y-axis. The first atom has a mass of 6.778 kg, with x coordinate at 2.814 m and y coordinate at 9.967 m. The second atom has a mass of 48.003 kg, with x coordinate at 47.145 m and y coordinate at 17.003 m. The third atom has a mass of 43.312 kg, with x coordinate at 44.89 m and y coordinate at 22.657 m. What is the moment of inertia in the unit of kg m2 with respect to the y axis?
A 1 kg mass sits on the y-axis, 2 m from the x-axis. A 2 kg mass sits on the x-axis, 1 m from the y-axis. Which axis would you rotate the system about to have the least resistance to its change in motion? Group of answer choices -y-axis -x-axis -either axis would give the same result
a nonuniform bar is suspended at rest in a horizontal position by two massless cords. One cord makes the angle u=36.9° with the vertical; the other makes the angle f =53.1° with the vertical. If the length L of the bar is 6.10 m, compute the distance x from the left end of the bar to its center of mass.