You have been hired to design a family-friendly see-saw. Your design will feature a uniform board (mass M = 16 kg, length L = 11 m) that can be moved so that the pivot is a distance d from the center of the board. This will allow riders to achieve static equilibrium even if they are of different mass, as most people are. You have decided that each rider will be positioned so that his/her center of mass will be a distance xoffset = 16 cm from the end of the board when seated as shown. You have selected a child of mass m = 29 kg (shown on the right), and an adult of mass n =4 times the mass of the child (shown on the left) to test out your prototype.

You have been hired to design a family-friendly see-saw. Your design will feature a uniform board (mass M = 16 kg, length L = 11 m) that can be moved so that the pivot is a distance d from the center of the board. This will allow riders to achieve static equilibrium even if they are of different mass, as most people are. You have decided that each rider will be positioned so that his/her center of mass will be a distance xoffset = 16 cm from the end of the board when seated as shown. You have selected a child of mass m = 29 kg (shown on the right), and an adult of mass n =4 times the mass of the child (shown on the left) to test out your prototype.

Similar questions

Two kids are playing on a seesaw on the school playground. The first kid (of mass 50 kg) sits 2 meters from the fulcrum. The other child (who has a mass of 70 kg) sits on the other side of the seesaw. How far away from the fulcrum does the second child need to sit in order to balance the seesaw? Assume that the seesaw itself is weightless. O 0.79 m O 1.43 m O 1.03 m O 2.24 m
Review Conceptual Example 7 before starting this problem. A uniform plank of length 5.0 m and weight 225 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support (see the drawing). To what distance x can a person who weighs 462 N walk on the overhanging part of the plank before it just begins to tip? 41.1 ma
A uniform ladder stands on a rough floor and rests against a frictionless wall as shown in the figure. Since the floor is rough, it exerts both a normal force N1 and a frictional force f1 on the ladder. However, since the wall is frictionless, it exerts only a normal force N2 on the ladder. The ladder has a length of L = 4.4 m, a weight of WL = 53.5 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m = 90kg is standing on the ladder, determine the following. (a) the forces exerted on the ladder when the person is halfway up the ladder (Enter the magnitude only.) N1 = ? N N2 = ? N f1 = ? N (b) the forces exerted on the ladder when the person is three-fourths of the way up the ladder (Enter the magnitude only.) N1 = ? N N2 = ? N f1 = ? N
A tightrope walker is walking between two buildings holding a pole with length ?=15.5 m, and mass ??=19.5 kg. The daredevil grips the pole with each hand a distance ?=0.575 m from the center of the pole. A bird of mass ??=525 g lands on the very end of the left‑hand side of the pole. Assuming the daredevil applies upward forces with the left and right hands in a direction perpendicular to the pole, what magnitude of force ?left and ?right must the left and right hand exert to counteract the torque of the bird?
The drawing below shows two forces acting on a rigid beam. The blue dot is the center of mass of the beam. The forces (red arrows) are equal in magnitude. Consider the net force on the beam and net torque about its center. Which of the following statements are true? Check ALL that apply. The net force is zero. The net force is not zero. The net torque is zero. O The net torque is not zero.
In the figure, a nonuniform bar is suspended at rest in a horizontal position by two massless cords as shown in the figure here. One cord makes the angle 0 = 29.5° with the vertical; the other makes the angle p = 60.5° with the vertical. If the length L of the bar is 6.8 m, compute the distance x from the left end of the bar to its center of mass. com X = i
Consider a teeter-totter that is made out of pine, shown below. A pineapple sits on one side of the teeter-totter, a distance 1.38 m from the pivot point, while an apple (non-pine) sits on the other side, a distance of 2.65 m from the pivot. If the pineapple has a mass 125 g, what must the mass of the apple be in order to balance the teeter-totter (i.e. to maintain rotational equilibrium)? [Answer in units of grams (g) with 3 sig figs but do not enter units with your answer]
You have been hired to design a family-friendly see-saw. Your design will feature a uniform board (mass M, length L) that can be moved so that the pivot is a distance d from the center of the board. This will allow riders to achieve static equilibrium even if they are of different mass, as most people are. You have decided that each rider will be positioned so that his/her center of mass will be a distance xoffset from the end of the board when seated as shown. You have selected a child of mass m (shown on the right), and an adult of mass n times the mass of the child (shown on the left) to test out your prototype. (a) Derive an expression for the torque applied by the adult rider (on the left) in terms of given quantities and variables available in the palette. Assume counterclockwise is positive. (b) Derive an expression for the torque applied by the child rider (on the right) in terms of given quantities and variables available in the palette. Assume counterclockwise is positive.…
Bob and Anna sit on opposite ends of a uniform see-saw which is 12.0 m in length. The see-saw is balanced by a fulcrum which is located 4.00 m from Bob. Bob has a mass of 85.0 kg, and the see-saw itself has a mass of 100 kg. Anna’s mass is unknown. NOTE THAT THE FULCRUM IS NOT PLACED AT THE CENTER OF MASS OF THE SEESAW!!! a) What is the net torque on the see-saw? Explain clearly and briefly how you know. b) Draw a properly labeled extended force diagram of the see-saw. c) Solve for Anna’s mass.
As a swimmer pulls his arm through the water, various muscles exert forces on the upper arm. The figure below shows a force F exerted on the humerus (upper arm bone) by the pectoral muscle. The muscle is connected to the bone d = 7.30 cm from the center point O of the shoulder joint. Find the magnitude of F, if this force's torque on the arm provides half of the total torque balancing the torque produced by the water pushing against the hand. (Let Fhand = 119and D = 33.0 cm. )