1. A set of three forces act upon a uniform beam, as shown in the diagram...

Question

Question

Answer 1

Answer #1

a) Net torque about center of mass

counterclockwise torque is positive and clockwise torque is negative.

so,

$\tau$ = 43 * sin 35 * 0.75 + 29 * 0.75

$\tau$ = 40.24 N.m

counterclockwise

------------------------------------------------------

b) $\tau$ = I $\alpha$

so,

I = 1/12 * 15 * 1.5²

I = 2.8125 Kg.m²

so,

$\alpha$ = 40.24 /2.8125

$\alpha$ = 14.3 rad/sec²

Answer 2

Similar Homework Help Questions

What is the angular acceleration of the rod immediately after it is released?

A uniform 7 kg rod with length 10 m has a frictionless pivot at one end. The rod is released from rest at an angle of 23 degrees beneath the horizontal.What is the angular acceleration of the rod immediately after it is released?The moment of inertia of a rod about the center of mass is 1/12 mL2 , where m is the mass of the rod and L is the length of the rod. The moment of inertia of a...
Thanks so much for the help! Please show all work. A uniform solid disk with radius...

Thanks so much for the help! Please show all work. A uniform solid disk with radius 9 cm has mass 0.5 kg (moment of inertia I = ½MR2). A constant force 12 N is applied as shown. At the instant shown, the angular velocity of the disk is 40 radians/s in the −z direction (where +x is to the right, +y is up, and +z is out of the page, toward you). The length of the string d is 13...
A uniform disk with mass m = 9.07 kg and radius R = 1.36 m lies...

A uniform disk with mass m = 9.07 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 313 N at the edge of the disk on the +x-axis, 2) a force 313 N at the edge of the disk on the –y-axis, and 3) a force 313 N acts at the edge of the disk at an angle θ =...

Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located...

Three masses are connected by rigid massless rods, as shown. The 200-g mass (B) is located at the origin (0, 0). (a) Find the x- and y-coordinates of the center of mass. (b) Find the moment of inertia of this system of three connected masses when rotated about the r-axis that passes through mass B? (c) If this system is rotated about the r-axis, from rest to an angular speed of 6 rad/s in time t = 3 s, what...
1) What is the magnitude of the torque on the disk about the z axis due...

1) What is the magnitude of the torque on the disk about the z axis due to F1? N-m 2) What is the magnitude of the torque on the disk about the z axis due to F2? N-m 3) What is the magnitude of the torque on the disk about the z axis due to F3? N-m 4) What is the x-component of the net torque about the z axis on the disk? N-m 5) What is the y-component of...
(17%) Problem 2: A uniform thin rod of mass m 1.8 kg and length L 1.7...

(17%) Problem 2: A uniform thin rod of mass m 1.8 kg and length L 1.7 m can rotate about an axle through its center. Four forces are acting on it as shown in the ngre. Their magnitudes are F = 9.5 N, F = 2.5 N, F = 14 N and F4 = 19 N. F2 acts a distance 45c F. d 0.15 m from the center of mass. |d 600 3 F Otheexpertta.com 4 20% Part (a) Calculate...

4. Three forces of 2 N, 3 N and 4N act as shown below: Calculate the...

4. Three forces of 2 N, 3 N and 4N act as shown below: Calculate the magnitude of the resultant and it's direction relative to the 2 N force. [6.24 N at 76.10°] 4N 60 3N 60° 2 N 1.5 m/s2 at 90° and b 2.6 m/s2 at 145° act at a [2.13 m/s2 at 0°] 5. Acceleration of a point. Draw a diagram and find a - b
Four forces A, B, C, and D act on an object of mass 30kg. These forces...

Four forces A, B, C, and D act on an object of mass 30kg. These forces are as follows: A= 40.0 N east, B= 50.0 N north, C= 70.0 N west, and D= 90.0 N south. Determine the acceleration of the object (magnitude and direction with respect to positive x-direction or east). a) 50 m/s2 , 323o b) 1.67 m/s2 , 233o c) 8.33 m/s2 , 45o d) 260 m/s2 , 30o please show all work, thank you!
Multiple Choice (select the best answer) (2 pts each 1. Consider a uniform hoop of radius...

Multiple Choice (select the best answer) (2 pts each 1. Consider a uniform hoop of radius R and mass M rolling without slipping. Which is larger, its translational kinetic energy or its rotational kinetic energy? A) Translational kinetic energy is larger B) Rotational kinetic energy is larger. C) Both are equal. D) You need to know the speed of the hoop to tell. 2. A disk and a hoop of the same mass and radius are released at the same...

1. A uniform disk with a 16 kg mass and a 20 cm radius rotates about...

1. A uniform disk with a 16 kg mass and a 20 cm radius rotates about a perpendicular axis through the center. Three forces act on it as shown. The 60 N and 50 N forces act at the rim with the 60 N tangent to it, and the 70 N acts at a distance of 10 cm from the axis as shown. (a) What is the net torque on the disk? (b) What is the angular acceleration of the...