here,
length of beam , l = 10 m
the net torque about the fulcrum , T = 100 * 6 * 9.81 + 50 * 3 * 9.81 - 200 * (10 - 6) * 9.81
T = - 490.5 N.m
the moment of inertia , I = 100 * 6^2 + 50 * 3^2 + 200 * (10 -6)^2
I = 7250 kg.m^2
the magnitude of angular acceleration , alpha = T /I
alpha = 0.068 rad/s^2
the direction is in CLOCKWOSE DIRECTION
Homework Problem: Three people are hanging from a 10m long beam at the locations shown. The...
4. Homework Problem: Three people are hanging from a 10m long beam at the locations shown. The mass of the beam is 10 kg. If the beam is held in place as shown, then released, find the angular acceleration and its direction of the beam + people about the fulcrum. In 100 200 6m # revs distance
1. A set of three forces act upon a uniform beam, as shown in the diagram below. The beam has a length of L = 1.5 meters and a mass of M = 15 kg. 43 N 35 23 N 29 N a) What is the net torque about the beam's center of mass, in units of N-m? Give both the magnitude and the direction. b) What is the resulting angular acceleration of the beam, in units of rad/s2? Give...
Problem #2: 25 points A 24m long, horizontal beam is attached to a wall by a hinge. A support cable, 26 m long, is attached to the other end of the beam and attached to the wall 10m above the hinge, forming a 5, 12, 13 right triangle (HINT: leave sin and cos as a simple ratio of integers). The load hanging from the very end of the beam is 1000 Kg and the beam has a mass of 300Kg....
Problem 10. If two forces are acting on a beam as shown, and FI -10 N, and F2 - 15 N, what is the force of F3n if the beam is not to move? Problem 11. Four people are pushing on a door as shown on the figure, and the forces given are; FI - 10 N, F3 - 15 N, F4 is 35 N, what is the force of F2 if the door is not moving? Problem 12. If...
122 spring2019 HW01.pdf page 2 of 9 PhysicsT22 Spring2010-Homework #01 Problem 1 +3 +4q Two pucks are placed on a frictionless table as shown above. Each puck has mass m. A positive charge of +3o is placed on the left charge and a charge of +4go is placed on the right puck. The pucks are released at rest and the distance D between the two pucks. just after they are released? just after they are released? acceleration of the right...
Dynamic
The 1.0-meter-long horizontal plank shown below rotates with a constant angular velocity of 10 rad/s in the -y direction, while the smaller member (0.5 m long) rotates about the +z axis with a constant angular velocity of 20 rad/s. a. What's the acceleration of the point p at the instant shown? b. If the point p represents an object with a mass of 0.015 kg, what's the net force acting on the object at the instant shown? X p
A stick is resting on a concrete step with 흑 of its total length L hanging over the edge. A single ladybug lands on the end of the stick hanging over the edge, and the stick begins to tip. A moment later, a second, identical ladybug lands on the other end of the stick, which results in the stick coming momentarily to rest at θ-569" with respect to the horizontal, as shown in the figure. If the mass of each...
1. The linkage shown is made of two 1.0-meter-long rods. Each rod has a mass of 5 kg. At the instant shown each rod has an angular velocity of -10 rad/s. Gravity acts toward the bottom of the page. What's the acceleration of the point where the 500 N force is applied? 500 N A disc of radius 0.3 m spins at a constant rate of 50 rad/s about its axis (directed toward the ottom of the page), while the...
PROBLEM: Blocks A and B shown in Fig. 14–14a have a mass of 10 kg and 100 kg, respectively. Determine the distance B travels when it is released from rest to the point where its speed becomes 2 m/s. a B 100 kg А For this problem, only determine the dependent motion equations for the blocks. Express how the position, velocity, acceleration of each is related to the other, dependent on the other p,v,a of the other.
Consider the pendulum bob shown. The bob is
constructed from a flat disk of mass 2.50
kg and diameter 20.0 cm which is connected to a rod of length 30.0
cm and mass of 2.00 kg.
The bob rotates about a pivot on end of the rod that is parallel to
the ground.
a. Find the total gravitational torque acting on the
bob when it is at an angle of 25.0° below the
horizontal.
b. Use the parallel axis theorem...