An architecture student working at a drafting table requires some muscle action in order to support her head. As shown in the figure, three forces act on her head. If the force provided by muscles is FM = 75 N and the weight of her head is W = 38 N, determine the magnitude and direction of the force provided by the upper vertebrae F, to hold her head stationary. Assume that this force acts along a line through the center of mass of her head as do the weight and muscle force. (Assume the +x-axis to be to the right.) magnitude direction ° measured clockwise from the -x-axis CG F.

An architecture student working at a drafting table requires some muscle action in order to support her head. As shown in the figure, three forces act on her head. If the force provided by muscles is FM = 75 N and the weight of her head is W = 38 N, determine the magnitude and direction of the force provided by the upper vertebrae F, to hold her head stationary. Assume that this force acts along a line through the center of mass of her head as do the weight and muscle force. (Assume the +x-axis to be to the right.) magnitude direction ° measured clockwise from the -x-axis CG F.

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

The figure below shows a claw hammer being used to pull a nail out of a horizontal board where ? = 27.3°. The mass of the hammer is 1.00 kg. A force of 165 N is exerted horizontally as shown, and the nail does not yet move relative to the board. Assume the force the hammer exerts on the nail is parallel to the nail. A hand uses a hammer to pull a nail out of the ground. The head of the hammer is curved and touches the ground at a single point of contact at the center of the head. The nail in the ground makes an acute angle ? clockwise from the vertical. The nail is hooked in the hammer claw 5.00 cm horizontally to the left of the hammer head's point of contact to the ground. The hand pulls the hammer handle horizontally to the right 30.0 cm above the ground with a force vector F.(a) Find the force exerted by the hammer claws on the nail.magnitude kNdirection ° above the horizontal (b) Find the force exerted by the surface on the point of contact with the hammer head.( î + ĵ)…
Consider a method for measuring the mass of a person’s arm in anatomical studies. The subject lies on her back, extends her relaxed arm to the side and two scales are placed below the arm. One is placed under the elbow and the other under the back of her hand. Construct a problem in which you calculate the mass of the arm and find its center of mass based on the scale readings and the distances of the scales from the shoulder joint. You must include a free body diagram of the arm to direct the analysis. Consider changing the position of the scale under the hand to provide more information, if needed. You may wish to consult references to obtain reasonable mass values.
A student gets his car stuck in a snow drift. Not at a loss, having studied physics, he attaches one end of a stout rope to the vehide and the other end to the trunk of a nearby tree, allowing for a small amount of slack. The student then exerts a force F on the center of the rope in the direction perpendicular to the car-tree line, as shown in the figure below. If the rope is inextensible and if the magnitude of the applied force is 504 N, what is the force on the car? (Assume equilibrium conditions.) KN 12 m Tree 0.50 m
For a meter stick of mass 147.89 g, it is found that its weight can be balanced by hanging a 183.99 g mass at the 95.00 cm mark. Where does the center of the weight of the meter stick locate on the meter stick? Enter the number in cm unit.
you are on a teeter-totter with a young girl your mass is 90 kg and the girls mass is 15 kg. The child sits as far as possible from the middle at 4 m. Where must you sit to exactly balance her weight?
I need help with this problem
A 68 kg man is in the prone position while during pushups. His feet and hands are 95 cm and 42 cm away respectively from his center of mass. What is the normal force exerted by on each (a) hand and (b) foot?
A rider of mass 77.0-kg sits 1.60 meters left of the pivot point. A different rider sits 3.3 meters to the right of the pivot point. If the see-saw is in equilibrium, what is the rider on the right's mass? The mass of the see-saw is 18.9-kg Give your answer in kilograms to 3 significant figures (1 decimal place).
Two match officials carry an injured rugby player from a rugby field on a stretcher. The rugby player weighs 95 kg and the stretcher is 2.5 m long. One of the stretcher bearers (bearer A) is able to lift a weight of 60 kg; the other (bearer B) is unsure how much weight he is able to lift. How much weight must bearer B support? How far from bearer A must the injured rugby players center of mass be in order for the stretcher bearers to carry the load without tipping the injured player out?
A rider of mass 78.0-kg sits 1.70 meters left of the pivot point. A different rider sits 3.5 meters to the right of the pivot point. If the see-saw is in equilibrium, what is the rider on the right's mass? The mass of the see-saw is 19.2-kg Give your answer in kilograms to the correct number of significant figures.