A broom balances at a point x from its upper end. When a weight of mass m is attached at its upper end, the point of balance shifts to x a. Find an expression for the weight of the broom b. What is the weight of the broom if m = 0.23 kg, x = 1.100 m and x 0.940 m? Hint: Recall that in the expression for the position of the center of mass, the integral represents a sum over all parts of the object in question. If another part is added then the sum is replaced by the same sum plus an extra term consisting of and integral over the added volume. If the extra part is discrete that can be modeled as a point mass, then the extra term will consist of the mass of the object multiplied by its position F dm becomes: Ie M orig orig mextra (M ons extra orig or, for an extra part that can be treated as a point mass F'dmrextra Mextra (M onis +mestra orig

A broom balances at a point x from its upper end. When a weight of mass m is attached at its upper end, the point of balance shifts to x a. Find an expression for the weight of the broom b. What is the weight of the broom if m = 0.23 kg, x = 1.100 m and x 0.940 m? Hint: Recall that in the expression for the position of the center of mass, the integral represents a sum over all parts of the object in question. If another part is added then the sum is replaced by the same sum plus an extra term consisting of and integral over the added volume. If the extra part is discrete that can be modeled as a point mass, then the extra term will consist of the mass of the object multiplied by its position F dm becomes: Ie M orig orig mextra (M ons extra orig or, for an extra part that can be treated as a point mass F'dmrextra Mextra (M onis +mestra orig

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

A beam resting on two pivots has a length of L = 6.00 m and mass M = 89.0 kg.The pivot under the left end exerts a normal force n1 on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 52.5 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. A woman of mass m walking across a beam which is resting on two pivots. The beam is of length L and mass M and the woman is a distance x from the left end of the beam. The first pivot is directly under the left end of the beam and the second pivot is a distance ℓ from the first pivot at a shorter distance than the length of the beam. (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. (b) Where is the woman when the normal…
A nonuniform, 0.08 kg, meterstick balances when the support is placed at the 51.0 cm mark. At what location on the meterstick should a 5.00 g tack be placed so that the stick will balance at the 50.0 cm mark? X = cm
A beam resting on two pivots has a length of L = 6.00 m and mass M = 77.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 61.5 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. (a) Use the force equation of equilibrium to find the value of n2 when the beam is about to tip. (b) 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 = (c) Check the answer to part (e) by computing torques around the first pivot point.x = (d)Except for possible slight differences due to rounding, is the answer the same for F and E?
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…
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.) =
Two children are trying to balance on a seesaw, which includes a fulcrum and a board that is 10m long. Boy A has a mass of 50kg, and boy B has a mass of 35kg. How far from the pivot point should boy B be to maintain stable equilibrium?
A 5.2-m ladder rests against a wall as shown. The ladder has a mass of 27.6 kg. A 56.3-kg person stands on the ladder at a distance of 3.6 m from the bottom of the ladder. The foot of the ladder is 1.9 m from the bottom of the wall. Assume there is no friction between the ladder and the wall so that the force of the wall on the ladder is acting only in the horizontal direction. However, there is a friction force between the ladder and the ground. 1.) What is the force, in N, exerted by the wall on the ladder?
B4
Two children of mass 15 kg and 26 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw.If the children are separated by a distance of 3.0 m, at what distance, in meters, from the pivot point is the smaller child sitting in order to maintain the balance? r1 =
Three children are trying to balance on a seesaw. The seesaw is 3.7 m long and pivots about a rock at its center. Louie and Laura are already sitting on opposite ends. If Martha weighs 29 kg, where should she sit so as to balance the seesaw?
Three children are trying to balance on a seesaw. The seesaw is 4.1 m long and pivots about a rock at its center. Louie and Laura are already sitting on opposite ends. If Martha weighs 33 kg, where should she sit so as to balance the seesaw?
Three children are trying to balance on a seesaw, which consists of a fulcrum rock, acting as a pivot at the center, and a very light board 3.8 m long (Figure 1). Two playmates are already on either end. Boy A has a mass of 45 kg and boy B a mass of 35 kg.Where should girl C, whose mass is 25 kg, place herself so as to balance the seesaw?