A beam resting on two pivots has a length of L = 6.00 m and mass M = 87.0 kg. The pivot under the left end exerts a normal force n₁ on the beam, and the second pivot placed a distance = 4.00 m from the left end exerts a normal force n₂. A woman of mass m = 52.0 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. -L m M (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman x meters to the right of the first pivot, which is the origin. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) Where is the woman when the normal force n₁ is the greatest? x = L m (c) What is n, when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n₂ when the beam is about to tip. N (e) Using the result of part (c) and the torque equilibrium equation, with torques computed around the second pivot point, find the woman's position when the beam is about to tip. x = m (f) Check the answer to part (e) by computing torques around the first pivot point. x = m Except for possible slight differences due to rounding, is the answer the same? ○ Yes No

A 2-stage rocket is fired from rest. Its acceleration data are shown in the graph below. Plot the v-t and s-t graphs describing the motion of the rocket-clearly showing the shape of the curve (or add a note) and values at inflection points. Show any calculations as well. Then find the velocity of the rocket and its elevation after 20 seconds of flight. a (m/s?) 25 18 (s) 15 20

Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the door. One child pushes with a force of 12.5 N at a distance of 0.750 m from the hinges, and the second child pushes at a distance of 0.550 m. What force must the second child exert to keep the door from moving? (assume friction is negligible)

What is the force exerted by the cable?

I need help with problem over Rotational Kinectic (Equilibrium).. A window washer weighing 825.6 N is standing on a scaffold supported by a vertical rope at each end. The scaffold weighs 262.5 N and is 4.034 m long. What is the force in each rope when the window washer stands 1.48 m from one end? Force in Rope 1 (Rope closest to the window washer.) =  Force in Rope 2 (Rope farthest from the window washer.) =

A uniform disk with mass m = 8.75 kg and radius R = 1.41 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 315 N at the edge of the disk on the +x-axis, 2) a force 315 N at the edge of the disk on the -y-axis, and 3) a force 315 N acts at the edge of the disk at an angle 0 = 38° above the -x-axis. +y +x F3 IF, F2

A painter wishes to know whether or not he can safely stand on a ladder. The ladder has a mass M1 = 10 kg which is uniformly distributed throughout its length L = 7.1 m. The ladder is propped up at an angle theta = 49o. The coefficient of static friction between the ground and the ladder is mus = 0.49, and the wall against which the ladder is resting is frictionless. Calculate the maximum mass of the painter for which the ladder will remain stable when he climbs a distance d = 5.5 m up the ladder. If the painter does not stand on the ladder, what is the minimum angle theta for which the ladder will remain stable?

Two children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree trunk at an angle of 27.0° above the horizontal. One child, with a mass of 41.0 kg, is hanging 1.05 m along the branch from the tree trunk. The other child, with a mass of 31.0 kg, is hanging 2.35 m from the tree trunk. What is the magnitude of the net torque exerted on the branch by the children? Assume that the axis is located where the branch joins the tree trunk and is perpendicular to the plane formed by the branch and the trunk.