International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN: 9781305501607
Author: Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 7, Problem 7.57P
The square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a mean radius of 75 mm. The static and kinetic coefficients of friction between the gear and the screw are 0.12 and 0.06, respectively. The input torque applied to the screw is
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Consider the centrifugal clutch above that comprises of four ‘shoes’ symmetrically attached to the ‘spider’. Each shoe with its friction lining has a mass of 275 grams and is attached by means of a linear mechanical spring with a stiffness value of 7.5 kN/m. The coefficient of friction of the material attached to the shoes is 0.35. The centre of mass of each of the shoes is at a radius of 95 mm from the shaft centres in the rest position shown above and has a clearance distance of 9 mm to the outer drum. The outer drum has a wall thickness of 4 mm.
Question 1
a. Determine the engagement speed of the centrifugal clutch. You should provide your answer in RPM (revolutions per minute) and rounded to the nearest whole value of RPM.
b. Calculate the radial force acting on the clutch face when the driving shaft is rotating at a speed of 550 RPM.
c. At the driving shaft speed of 550 RPM, what will be the value of torque transmitted to the driven shaft?
Please note the equartions…
Consider the centrifugal clutch above that comprises of four ‘shoes’ symmetrically attached to the ‘spider’. Each shoe with its friction lining has a mass of 275 grams and is attached by means of a linear mechanical spring with a stiffness value of 7.5 kN/m. The coefficient of friction of the material attached to the shoes is 0.35. The centre of mass of each of the shoes is at a radius of 95 mm from the shaft centres in the rest position shown above and has a clearance distance of 9 mm to the outer drum. The outer drum has a wall thickness of 4 mm.
Question 1
a. Determine the engagement speed of the centrifugal clutch. You should provide your answer in RPM (revolutions per minute) and rounded to the nearest whole value of RPM.
b. Calculate the radial force acting on the clutch face when the driving shaft is rotating at a speed of 550 RPM.
c. At the driving shaft speed of 550 RPM, what will be the value of torque transmitted to the driven shaft?
Please not the equartions…
Consider the centrifugal clutch above that comprises of four ‘shoes’ symmetrically attached to the ‘spider’. Each shoe with its friction lining has a mass of 275 grams and is attached by means of a linear mechanical spring with a stiffness value of 7.5 kN/m. The coefficient of friction of the material attached to the shoes is 0.35. The centre of mass of each of the shoes is at a radius of 95 mm from the shaft centres in the rest position shown above and has a clearance distance of 9 mm to the outer drum. The outer drum has a wall thickness of 4 mm.
Question 1
a. Determine the engagement speed of the centrifugal clutch. You should provide your answer in RPM (revolutions per minute) and rounded to the nearest whole value of RPM.
b. Calculate the radial force acting on the clutch face when the driving shaft is rotating at a speed of 550 RPM.
c. At the driving shaft speed of 550 RPM, what will be the value of torque transmitted to the driven shaft?
Please not all equations used
Chapter 7 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
Ch. 7 - Can the two blocks be in equilibrium in the...Ch. 7 - Determine the range of P for which the system of...Ch. 7 - Two identical chairs, each weighing 14 lb, are...Ch. 7 - The two homogeneous bars AB and BC are connected...Ch. 7 - The contact surface between the 36-lb block and...Ch. 7 - The uniform bar AB of weight W is leaning against...Ch. 7 - The center of gravity of the 50-kg spool is at G....Ch. 7 - The brake pads at C and D are pressed against the...Ch. 7 - The 200-lb homogenous cylinder of radius R is...Ch. 7 - The rear-wheel-drive pickup truck, with its center...
Ch. 7 - Solve Prob. 7.10 assuming that the pick-up truck...Ch. 7 - The 2-lb bar is pinned at A and rests on the 4-lb...Ch. 7 - The horizontal force P acts on the rim of the...Ch. 7 - The uniform bar and the homogeneous cylinder each...Ch. 7 - A stepladder consisting of two legs pinned...Ch. 7 - The mass of the unbalanced disk is m, and its...Ch. 7 - The two uniform sheets of plywood, each of length...Ch. 7 - Find the largest value of b/h at which the folding...Ch. 7 - The 3600-lb car with rear Wheel drive is...Ch. 7 - The 3600-lb car with rear wheel drive is...Ch. 7 - The man is trying to push the homogeneous 20-kg...Ch. 7 - A 1.1-kg disk A is placed on the inclined surface....Ch. 7 - The 40-lb spool is suspended from the hanger GA...Ch. 7 - A uniform plank is supported by a fixed support at...Ch. 7 - The uniform bar of weight W is supported by a...Ch. 7 - The uniform plank is initially at rest on the...Ch. 7 - The two homogeneous bars with the weights shown...Ch. 7 - The man pushes the 120-lb homogeneous crate with...Ch. 7 - The 80-kg crate has its center of gravity at G....Ch. 7 - Solve Prob. 7.29 if =0.Ch. 7 - The 120-lb door with its center of gravity at G is...Ch. 7 - Determine the largest force P for which the 16-kg...Ch. 7 - Determine the largest angle for which the...Ch. 7 - The cylinder and the block are connected by a...Ch. 7 - The weight of the cylindrical tank is negligible...Ch. 7 - The coeffient of static friction between the...Ch. 7 - The two homogenous boxes are stacked vertically....Ch. 7 - Two concrete blocks weighing 320 lb each form part...Ch. 7 - Derive the expression for the largest angle ? for...Ch. 7 - The 60-lb plank rests on a frictionless roller at...Ch. 7 - The 2000-lb weight of the trailer is distributed...Ch. 7 - Determine the smallest force P, applied to the...Ch. 7 - The homogenous cylinder of weight W is at rest...Ch. 7 - The uniform bar of length L and weight W is kept...Ch. 7 - The movable bracket of negligible weight is...Ch. 7 - The 200-lb man walks up the inclined plank of...Ch. 7 - Determine the smallest coefficient of static...Ch. 7 - Find the smallest distance d for which the hook...Ch. 7 - Prob. 7.49PCh. 7 - The block of weight W is pulled by the force P...Ch. 7 - The two 200-lb blocks are pushed apart by the 15...Ch. 7 - Determine the smallest horizontal force P that...Ch. 7 - The device shown is used to measure the kinetic...Ch. 7 - The single-threaded screw of the floor jack has a...Ch. 7 - A wedge is used to prop up the 6000-lb block of...Ch. 7 - The square-threaded screw 0f the C-clamp has a...Ch. 7 - The square-threaded screw with a pitch of 10 mm...Ch. 7 - The screw of the carjack has a pitch of 0.1 in....Ch. 7 - How many turns of rope around the capstan are...Ch. 7 - The force P applied to the brake handle enables...Ch. 7 - Prob. 7.61PCh. 7 - The 120-kg block A is suspended from a rope that...Ch. 7 - The leather rein used to fasten the horse to the...Ch. 7 - The 30-lb weight is attached to a rope that runs...Ch. 7 - The rail AB of negligible weight is suspended from...Ch. 7 - The blocks A and B of weights WA and WB are joined...Ch. 7 - The 150-lb weight is attached to a rope that...Ch. 7 - The 50-lb homogeneous bar AB is suspended from a...Ch. 7 - The collar bearing carries the axial load P = 400...Ch. 7 - Solve Sample Problem 7.16 if the contact pressure...Ch. 7 - The 600-lb cable spool is placed on a frictionless...Ch. 7 - Prob. 7.72PCh. 7 - The normal pressure acting on the disk of the...Ch. 7 - Prob. 7.74PCh. 7 - The single-plate clutch transmits the torque C...Ch. 7 - The clutch described in Prob. 7.75 is to transmit...Ch. 7 - The cone clutch transmits the torque C through a...Ch. 7 - The figure shows a steel bar being processed by a...Ch. 7 - The coefficient of rolling resistance between the...Ch. 7 - Prob. 7.80PCh. 7 - Calculate the horizontal force P required to push...Ch. 7 - The uniform pole BC of length L and weight W is...Ch. 7 - The homogeneous bar AB of weight W and length L is...Ch. 7 - Find the smallest angle for which the uniform...Ch. 7 - Prob. 7.85RPCh. 7 - Determine the largest angle for which the uniform...Ch. 7 - Can the uniform bar of weight W remain at rest in...Ch. 7 - The panel of weight W with its center of gravity...Ch. 7 - The woman is trying to move the crate of weight W...Ch. 7 - The screw of the clamp has a square thread of...Ch. 7 - Find the largest clockwise couple C that can be...Ch. 7 - The test specimen AB is placed in the grip of a...Ch. 7 - The coefficient of static friction between the...Ch. 7 - The uniform bars AB and BC are connected with a...
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
- Calculate the horizontal force P required to push the 85-lb lawn mower at constant speed. The center of gravity of the mower is at G, and the coefficients of rolling resistance are 0.12 for the front wheels and 0.18 for the rear wheels.arrow_forwardA uniform plank is supported by a fixed support at A and a drum at B that rotates clockwise. The coefficients of static and kinetic friction for the two points of contact are as shown. Determine whether the plank moves from the position shown if (a) the plank is placed in position before the drum is set in motion; and (b) the plank is first placed on the support at A and then lowered onto the drum, which is already rotating.arrow_forwardThe 60-lb plank rests on a frictionless roller at A, and the 20-lb triangular support BD. Both bodies are homogenous. The coefficients of static friction are 0.4 at B and 0.3 at D. Determine the largest force P that can be applied to the plank without initiating motion.arrow_forward
- The drum, with radius R = 1.9 m, is given an initial counterclockwise angular velocity ω0. The drum is kept from rolling towards the left by a smooth vertical slot acting on a thin rod which passes through its centre. A vertical force (where C = 38, k = 1.7 and t denotes time in seconds) is being applied to a cord wrapped around the inner hub, with radius r = 0.7 m, of the drum. If the frictional coefficient is μk = 0.62 and the change in the angular momentum about O is ΔHO = 238 kg.m2/s (counterclockwise) during the first 2.3 seconds, determine the mass of the drum. (The mass of the cord and the thin rod may be regarded as negligible.) a)214.2 kg b)68.28 kg c)19.83 kg d)109.6 kg e)69.86 kgarrow_forwardIn a porter governor the mass of the central load is 18 kgand the mass of each ball is 2kg. the top arms (250+X) mm while the bottom arms are (300+X) mm long. The friction of the sleeve is 20 N. If the top arms make 45 deg with the axis of rotation in the equilibrium position, find the range of the speed of the governor in that position Note X is the student roll no. for example if the student roll no is A20 then X=20arrow_forwardA cylinder of mass M=500kg has an axle of radius b=1m and a spool of radius R=3m. It is placed upright on a table and the string is pulled with a horizontal force F=750N to the right as shown in the figure. The cylinder is rolling without slipping and the coefficient of static friction between the cylinder and the table is µs =0.34. I = 1/2 MR^2a. Determine the linear velocity of the cylinder when it travels a distance D=2m. c. Determine the linear acceleration of the cylinder. d. Determine the friction force acting on the cylinder. e. What is the maximum pulling force, F, for which the cylinder will roll without slipping.arrow_forward
- Two machines are coupled by means of a clutch plate with 2 contact surfaces. The plate has an inner diameter of 125 mm and an outer diameter of 200 mm and the coefficient of friction between mating surfaces is 0.35. It is assumed that shafts of both machines are co-axial and the driving shaft is rotating at a constant speed of 240 rev/min when it is suddenly brought in contact with the driven shaft/machine initially rotating at 20 rev/min. The Moment of Inertia of the driven machine is 21 kgm2. A slippage period of 6.8 sec is observed while the driven machine is brought to the full speed of the driving shaft. Analyse the frictional power transmission and calculate: The magnitude of the torque necessary to cause the described acceleration of the driven shaft :arrow_forwardThe horizontal force P = 90 N is applied to the upper block with the system initially stationary. The block masses are mA = 14.4 kg and mB = 5.1 kg. Use g = 9.81 ms-2. Determine the magnitude of the frictional force that block B exerts on block A. The coefficients of static friction are µ1 = 0.40 and µ2 = 0.50. The coefficients of kinetic friction are 75% of the respective static values. Give your answer in Newtons.arrow_forward1. If there is no friction between shaft AB and the collar, what angular velocity θ˙˙ must the mechanism have to keep the collar at r=300 mm from the vertical axis? Express your answer to three significant figures. 2. Consider the same mechanism again, with m=2.95 kg, d=225 mm, k=250 N/m, only now, instead of being smooth, the collar and shaft have a maximum coefficient of friction of μs=0.297. What is the minimum angular velocity required to keep the collar at a constant distance r=300 mm from the axis of rotation? Express your answer to three significant figures.arrow_forward
- The tension in a pulley belt is 300 N when stationary. The smaller pulley has a diameter of 300 mm and a speed of 1420 rev/min. The coefficient of friction between the belt and the pulley is 0·4 and the angle of lap is 160°. (a) Calculate the tension in each side of the belt at operating speed. (b) Determine the power transmitted when the belt is on the point of slipping. If the pulley system uses a flat belt of CSA 500 mm² and density 1300 kg/m3, determine: (c) The power transmitted, when the mass of the belt is taken into consideration.arrow_forwardA 2200-kg car rounds a curve of 80 m radius banked at an angle of 300 . The coefficient of friction between the tires and the road is 0.50. (a) Find the friction force acting on the tires when the car is travelling at 90 kph (b) at 40 kph (c) What is the rated speed for the given angle of banking? (d) What is the speed when the car impends to skid outwardly? ( e) inwardly? Include FBDs whenever necessary.arrow_forwardA motorcycle and rider have a combined mass of 350kg. The each wheel has a mass of 20kg with the diameter of 500 mm. The rider accelerates from 5m/s to 25m/s over a distance of 100m, whilst climbing a hill of slope 1 in 20. Identify the magnitude and effect of gyroscopic reaction torque by calculating the angular velocity and power as the motorcycle ascends the incline when the motorcycle and rider travel at 80 km/h around a left-hand bend of road with the radius 30 m.Explain the effects of energy transfer in mechanical systems (e.g. gears, pulley or flywheel) with uniform acceleration present.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_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
Power Transmission; Author: Terry Brown Mechanical Engineering;https://www.youtube.com/watch?v=YVm4LNVp1vA;License: Standard Youtube License