VECTOR MECH...,STAT.+DYN.(LL)-W/ACCESS
12th Edition
ISBN: 9781260265453
Author: BEER
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 16.2, Problem 16.80P
An athlete performs a leg extension on a machine using a 20-kg mass at A located 400 mm away from the knee joint at center O. Biomechanical studies show that the patellar tendon inserts at B, which is 100 mm below point O and 20 mm from the center line of the tibia (see figure). The mass of the lower leg and foot is 5 kg, the center of gravity of this segment is 300 mm from the knee, and the radius of gyration about the knee is 350 mm. Knowing that the leg is moving at a constant angular velocity of 30 degrees per second when θ = 60°, determine (a) the force F in the patellar tendon, (b) the magnitude of the joint force at the knee joint center O.
Fig. P16.80
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A person is performing slow arm curls with a 10- kg weight as indicated in the figure below.
The brachialis muscle group (consisting of the bicepts and brachialis muscles) is the major
factor in this exercise. Determine the magnitude F of the brachialis-muscle-group force and
the magnitude E of the elbow joint reaction at point E for the forearm position shown in the
figure. Use the dimensions provided to locate the effective points of application of the two
muscle groups; these points are 200 mm directly above E and 50 mm directly to the right of E.
Include the effect of the 1.5- kg forearm mass with mass center at point G. State any
assumptions.
Humerus
Biceps
Brachialis
200 mm
Ulna
10 kg
Radius
E
50 mm
100 mm
350 mm
The mechanism shown consists of a crank (bar AB), a connecting rod (bar BC) and the piston C that slides on the smooth surface (without friction). The combustion of gasoline produces a force P on the piston and this is kept in equilibrium with the moment M applied in A. The length of the crank is 116 mm, the length of the connecting rod is 183 mm, the force P is 710 N and the angle theta is 0.56 radians. Determine the value of M in Nm.
Please do all the blanks on the pic.
Chapter 16 Solutions
VECTOR MECH...,STAT.+DYN.(LL)-W/ACCESS
Ch. 16.1 - Two pendulums, A and B, with the masses and...Ch. 16.1 - Two pendulums, A and B, with the masses and...Ch. 16.1 - Two solid cylinders, A and B, have the same mass m...Ch. 16.1 - Prob. 16.1FBPCh. 16.1 - Prob. 16.2FBPCh. 16.1 - Prob. 16.3FBPCh. 16.1 - The 400-lb crate shown is lowered by means of two...Ch. 16.1 - A 60-lb uniform thin panel is placed in a truck...Ch. 16.1 - A 60-lb uniform thin panel is placed in a truck...Ch. 16.1 - A loading car is at rest on a track forming an...
Ch. 16.1 - A 2100-lb rear-wheel-drive tractor carries a 900...Ch. 16.1 - A uniform rod BC of mass 4 kg is connected to a...Ch. 16.1 - A 2000-kg truck is being used to lift a 400-kg...Ch. 16.1 - The support bracket shown is used to transport a...Ch. 16.1 - Prob. 16.8PCh. 16.1 - A 20-kg cabinet is mounted on casters that allow...Ch. 16.1 - Solve Prob. 16.9, assuming that the casters are...Ch. 16.1 - Prob. 16.11PCh. 16.1 - Prob. 16.12PCh. 16.1 - The retractable shelf shown is supported by two...Ch. 16.1 - Bars AB and BE, each with a mass of 4 kg, are...Ch. 16.1 - At the instant shown, the tensions in the vertical...Ch. 16.1 - Three bars, each of mass 3 kg, are welded together...Ch. 16.1 - Members ACE and DCB are each 600 mm long and are...Ch. 16.1 - A prototype rotating bicycle rack is designed to...Ch. 16.1 - The control rod AC is guided by two pins that...Ch. 16.1 - The coefficients of friction between the 30-lb...Ch. 16.1 - Prob. 16.21PCh. 16.1 - Prob. 16.22PCh. 16.1 - For a rigid body in translation, show that the...Ch. 16.1 - For a rigid body in centroidal rotation, show that...Ch. 16.1 - It takes 10 min for a 2.4-Mg flywheel to coast to...Ch. 16.1 - The rotor of an electric motor has an angular...Ch. 16.1 - The 10-in.-radius brake drum is attached to a...Ch. 16.1 - The 10-in.-radius brake drum is attached to a...Ch. 16.1 - The 100-mm-radius brake drum is attached to a...Ch. 16.1 - The 180-mm-radius disk is at rest when it is...Ch. 16.1 - Solve Prob. 16.30, assuming that the direction of...Ch. 16.1 - In order to determine the mass moment of inertia...Ch. 16.1 - The flywheel shown has a radius of 20 in., a...Ch. 16.1 - Each of the double pulleys shown has a mass moment...Ch. 16.1 - Two disks A and B, of mass mA = 2 kg and mB = 4...Ch. 16.1 - Two disks A and B, of mass mA = 2 kg and mB = 4...Ch. 16.1 - Gear A weighs 1 lb and has a radius of gyration of...Ch. 16.1 - The 25-lb double pulley shown is at rest and in...Ch. 16.1 - A belt of negligible mass passes between cylinders...Ch. 16.1 - Prob. 16.40PCh. 16.1 - Disk A has a mass of 6 kg and an initial angular...Ch. 16.1 - Prob. 16.42PCh. 16.1 - Disk A has a mass mA = 4 kg, a radius rA = 300 mm,...Ch. 16.1 - Disk B is at rest when it is brought into contact...Ch. 16.1 - Prob. 16.45PCh. 16.1 - Prob. 16.46PCh. 16.1 - For a rigid body in plane motion, show that the...Ch. 16.1 - A uniform slender rod AB rests on a frictionless...Ch. 16.1 - Prob. 16.49PCh. 16.1 - Prob. 16.50PCh. 16.1 - Prob. 16.51PCh. 16.1 - A 250-lb satellite has a radius of gyration of 24...Ch. 16.1 - A rectangular plate of mass 5 kg is suspended from...Ch. 16.1 - Prob. 16.54PCh. 16.1 - A drum with a 200-mm radius is attached to a disk...Ch. 16.1 - A drum with a 200-mm radius is attached to a disk...Ch. 16.1 - The 12-lb uniform disk shown has a radius of r =...Ch. 16.1 - Prob. 16.58PCh. 16.1 - Prob. 16.59PCh. 16.1 - 16.60 and 16.61The 400-lb crate shown is lowered...Ch. 16.1 - Prob. 16.61PCh. 16.1 - Two uniform cylinders, each of weight W = 14 lb...Ch. 16.1 - Prob. 16.63PCh. 16.1 - Prob. 16.64PCh. 16.1 - A uniform slender bar AB with a mass m is...Ch. 16.1 - Prob. 16.66PCh. 16.1 - 16.66 through 16.68A thin plate of the shape...Ch. 16.1 - 16.66 through 16.68A thin plate of the shape...Ch. 16.1 - A sphere of radius r and mass m is projected along...Ch. 16.1 - Solve Prob. 16.69, assuming that the sphere is...Ch. 16.1 - A bowler projects an 8-in.-diameter ball weighing...Ch. 16.1 - Prob. 16.72PCh. 16.1 - A uniform sphere of radius r and mass m is placed...Ch. 16.1 - A sphere of radius r and mass m has a linear...Ch. 16.2 - A cord is attached to a spool when a force P is...Ch. 16.2 - Prob. 16.5CQCh. 16.2 - Prob. 16.6CQCh. 16.2 - Prob. 16.7CQCh. 16.2 - Prob. 16.5FBPCh. 16.2 - Two identical 4-lb slender rods AB and BC are...Ch. 16.2 - Prob. 16.7FBPCh. 16.2 - Prob. 16.8FBPCh. 16.2 - Show that the couple I of Fig. 16.15 can be...Ch. 16.2 - A uniform slender rod of length L = 900 mm and...Ch. 16.2 - A crate of mass 80 kg is held in the position...Ch. 16.2 - A uniform slender rod of length L = 36 in. and...Ch. 16.2 - In Prob. 16.78, determine (a) the distance h for...Ch. 16.2 - An athlete performs a leg extension on a machine...Ch. 16.2 - Prob. 16.81PCh. 16.2 - A turbine disk weighing 50 lb rotates at a...Ch. 16.2 - The 80-lb tailgate of a car is supported by the...Ch. 16.2 - A uniform rod of length L and mass m is supported...Ch. 16.2 - Three stage lights are mounted on a pipe fixture...Ch. 16.2 - An adapted launcher uses a torsional spring about...Ch. 16.2 - A 4-kg slender rod is welded to the edge of a 3-kg...Ch. 16.2 - Prob. 16.88PCh. 16.2 - The object ABC consists of two slender rods welded...Ch. 16.2 - A 3.5-kg slender rod AB and a 2-kg slender rod BC...Ch. 16.2 - A 9-kg uniform disk is attached to the 5-kg...Ch. 16.2 - Derive the equation MC=IC for the rolling disk of...Ch. 16.2 - Prob. 16.93PCh. 16.2 - Prob. 16.94PCh. 16.2 - Prob. 16.95PCh. 16.2 - Prob. 16.96PCh. 16.2 - A 40-kg flywheel of radius R = 0.5 m is rigidly...Ch. 16.2 - Prob. 16.98PCh. 16.2 - 16.98 through 16.101A drum of 80-mm radius is...Ch. 16.2 - 16.98 through 16.101A drum of 80-mm radius is...Ch. 16.2 - 16.98 through 16.101A drum of 80-mm radius is...Ch. 16.2 - 16.102 through 16.105A drum of 4-in. radius is...Ch. 16.2 - 16.102 through 16.105A drum of 4-in. radius is...Ch. 16.2 - 16.102 through 16.105A drum of 4-in. radius is...Ch. 16.2 - 16.102 through 16.105A drum of 4-in. radius is...Ch. 16.2 - 16.106 and 16.107A 12-in.-radius cylinder of...Ch. 16.2 - 16.106 and 16.107A 12-in.-radius cylinder of...Ch. 16.2 - Gear C has a mass of 5 kg and a centroidal radius...Ch. 16.2 - Two uniform disks A and B, each with a mass of 2...Ch. 16.2 - A single-axis personal transport device starts...Ch. 16.2 - A hemisphere of weight W and radius r is released...Ch. 16.2 - A hemisphere of weight W and radius r is released...Ch. 16.2 - The center of gravity G of a 1.5-kg unbalanced...Ch. 16.2 - A small clamp of mass mB is attached at B to a...Ch. 16.2 - Prob. 16.115PCh. 16.2 - A 4-lb bar is attached to a 10-lb uniform cylinder...Ch. 16.2 - The uniform rod AB with a mass m and a length of...Ch. 16.2 - Prob. 16.118PCh. 16.2 - Prob. 16.119PCh. 16.2 - Prob. 16.120PCh. 16.2 - End A of the 6-kg uniform rod AB rests on the...Ch. 16.2 - End A of the 6-kg uniform rod AB rests on the...Ch. 16.2 - End A of the 8-kg uniform rod AB is attached to a...Ch. 16.2 - The 4-kg uniform rod ABD is attached to the crank...Ch. 16.2 - The 3-lb uniform rod BD is connected to crank AB...Ch. 16.2 - The 3-lb uniform rod BD is connected to crank AB...Ch. 16.2 - The test rig shown was developed to perform...Ch. 16.2 - Solve Prob. 16.127 for = 90. 16.127The test rig...Ch. 16.2 - The 4-kg uniform slender bar BD is attached to bar...Ch. 16.2 - The motion of the uniform slender rod of length L...Ch. 16.2 - At the instant shown, the 20-ft-long, uniform...Ch. 16.2 - A driver starts his car with the door on the...Ch. 16.2 - Prob. 16.133PCh. 16.2 - The hatchback of a car is positioned as shown to...Ch. 16.2 - The 6-kg rod BC connects a 10-kg disk centered at...Ch. 16.2 - Prob. 16.136PCh. 16.2 - In the engine system shown, l = 250 mm and b = 100...Ch. 16.2 - Solve Prob. 16.137 when = 90. 16.137In the engine...Ch. 16.2 - The 4-lb uniform slender rod AB, the 8-lb uniform...Ch. 16.2 - The 4-lb uniform slender rod AB, the 8-lb uniform...Ch. 16.2 - Two rotating rods in the vertical plane are...Ch. 16.2 - Two rotating rods in the vertical plane are...Ch. 16.2 - Two disks, each with a mass m and a radius r, are...Ch. 16.2 - A uniform slender bar AB of mass m is suspended as...Ch. 16.2 - A uniform rod AB, of mass 15 kg and length 1 m, is...Ch. 16.2 - The uniform slender 2-kg bar BD is attached to the...Ch. 16.2 - Prob. 16.147PCh. 16.2 - Prob. 16.148PCh. 16.2 - Prob. 16.149PCh. 16.2 - Prob. 16.150PCh. 16.2 - (a) Determine the magnitude and the location of...Ch. 16.2 - Prob. 16.152PCh. 16 - A cyclist is riding a bicycle at a speed of 20 mph...Ch. 16 - The forklift truck shown weighs 3200 lb and is...Ch. 16 - The total mass of the Baja car and driver,...Ch. 16 - Identical cylinders of mass m and radius r are...Ch. 16 - Prob. 16.157RPCh. 16 - The uniform rod AB of weight W is released from...Ch. 16 - Prob. 16.159RPCh. 16 - Prob. 16.160RPCh. 16 - A cylinder with a circular hole is rolling without...Ch. 16 - Two 3-kg uniform bars are connected to form the...Ch. 16 - A crate of mass 80 kg is held in the position...Ch. 16 - The Geneva mechanism shown is used to provide an...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Locate the centroid of the area. Prob. 9-17
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
19.8 Calculate the allowable tensile load for the connection shown. The plates are ASTM A36 steel and the weld ...
Applied Statics and Strength of Materials (6th Edition)
A number of common substances are
Some of these materials exhibit characteristics of both solid and fluid beha...
Fox and McDonald's Introduction to Fluid Mechanics
Determine the velocity of block D if end A of the rope is pulled down with a speed of vA = 3 m/s.
Engineering Mechanics: Dynamics (14th Edition)
What types of coolant are used in vehicles?
Automotive Technology: Principles, Diagnosis, and Service (5th Edition)
17–1C A high-speed aircraft is cruising in still air. How does the temperature of air at the nose of the aircra...
Thermodynamics: An Engineering Approach
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- What is the ratio L/R for which the uniform wire figure can be balanced in the position shown?arrow_forwardA window cleaner is pulling himself up to a pulley that consists of two disks welded together as shown. The person is currently pulling straight down on the rope in his hands with a force of magnitude 580.4 N. The other rope is also vertical and is attached to the person's center of mass. The person's mass is 74.2 kg, the pulley's total moment of inertia is 395 kgm2, the radius of the small disk is 0.39 m, and the radius of the big disk is 0.73 m.What is the magnitude of the acceleration of the person's center of mass?arrow_forwardB. 2. The 4-m boom shown has a mass of 60 kg and is pinned to the back of the truck at point A and secured by a cable at C. Calculate the tension in the cable and the magnitude of the pin force at 4 if the truck accelerates at 5 m/s?. 4 m 60°A 2 marrow_forward
- (A)/ Four masses A, B, C and D are attached to a rotating shaft with radii 50 mm, 62.5 mm, 100 mm and 75 mm respectively. The distance between planes A and B; between planes B and C and between planes C and D are 600 mm each. The masses B, C and D are 20 kg, 10 kg and 8 kg respectively. If the shaft is in complete balance, then find the angular position of masses C and D from mass B.arrow_forwardOne end of a uniform 2.60m rod with a mass of 38.0kg is supported by a cable connecting one end to the wall so that the cable makes an angle of 42.0° with respect to the rod. The other end rests against the vertical wall, where it is held in place by friction so that the rod is perfectly horizontal. A sign with an unknown mass is hung from the rod 1.90m from the wall so that wall exerts a normal force of 1790N on the rod in the positive x-direction. What is the mass of the sign in kilograms?arrow_forwardA wheel of mass M has radius R. It is positioned vertically on the floor and you exert a horizontal force F at the center of mass so that it will climb a step against which it rests. (this is like pushing a bike wheel over a curb) If the step has a height h, with harrow_forwardWith the elbow flexed 30 degrees, the moment arm of the biceps is equal to 10 mm. Solve for the force exerted by the biceps given the following assumptions: —the biceps is the only muscle active —the center of mass of the forearm is located 200 mm from the elbow center of rotation —the mass of the forearm is 2 kgarrow_forward8. If you stand on one foot while holding your other leg up behind you, your muscles apply a force to hold your leg in this raised position. The leg pivots at the knee joint, and the force that holds the leg up is provided by a tendon attached to the lower leg as shown in the Figure. Assume that the lower leg and the foot have a combined mass of 4.0 kg, and that their combined center of gravity is at the center of the lower leg. a. How much force must the tendon exert to keep the leg in this position? b. As hold your leg in this position, the upper leg exerts a force on the lower leg at the knee joint. you What are the magnitude and direction of this force? The tendon provides the torque to raise the lower leg. 5.0 cm- 50 cmarrow_forwardplease solve as symbolically as possiblearrow_forwardA block placed under the head of the claw hammer as shown greatly facilitates the extraction of the nail. If a 40-lb pull on the handle is required to pull the nail, calculate the tension T in the nail and the magnitude A of the force exerted by the hammer head on the block. The contacting surfaces at A are sufficiently rough to prevent slipping. T=? Lb. A=?Lb.arrow_forward1. An excavator encounters a reaction force of 7600 lb from the ground, normal to line AC, as shown. The shaded structural members (Dipperstick (FH), Mainboom (ADK), bucket, and hydraulic cylinders) have a combined weight of 15000 lb and a horizontal mass center located midway between points C and G. A OLUNU G 3 ft 6 in. 40° E Mainboom 3 ft 4 in. 39 ft F O K Dipperstick H Bucket 7600 lb C Questions: (a) Dismember the shaded structural members (with labeled points A-H) from the tractor and sketch a free-body diagram showing external and exposed internal forces. (b) Compute the force in the hydraulic cylinder strut BD and the pin reactions at A in the given position.arrow_forwardThe figure shows a trolley of mass 10 kg that can move freely along a smooth fixed horizontal rail driven by a horizontal applied force, F. Pivoted to the trolley at A is a rigid link AB of mass 2 kg, length 1.5 m and inertia 0.38 kgm² about the centre of gravity of the link, which is located at the midpoint. The link is driven by a motor mounted on the trolley which applies an anticlockwise torque T to the link. When the link is at 30° to the horizontal and the mechanism is undergoing the motion shown in the figure determine the magnitude of the reaction force acting on the link at point A in the x and y directions. The positive sense for x and y is given in the figure, and gravity can be assumed to be 10 m/s². O O O F Rail B Rx = 6.94 N Ry = 21.7 N Rx = 14.29 N Ry = 10.15 N Rx = 19.62 N Ry= 22.48 N Rx = 32.05 N Ry = 45.00 N 30⁰ T w = 2 rad/s a = 1 rad/s² v = 0.5 m/s a = 0.5 m/s² garrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
BEARINGS BASICS and Bearing Life for Mechanical Design in 10 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=aU4CVZo3wgk;License: Standard Youtube License