2. A Ford F-150 pick-up truck is going up Gospel Hill towing a trailer. The mass of the pick-up truck is 2M and the mass of the trailer is M. The hill is inclined at an angle of 8 from horizontal. Neglect any friction force between the trailer and the road. The driver steps on gas, accelerating up the hill with an acceleration of magnitude a. The truck does not slip. a. Draw the FBDs for the truck, the cart, and the system. b. What is the friction force between the truck and the road? Follow the free body diagram method for the system. c. What is the force that the truck hitch exerts on the trailer? Follow the free body diagram method for the trailer. Q.. = +y = = d. The truck starts slipping when the acceleration reaches 1.5 g sin 8. What is the coefficient of static friction between the road and the tires? Follow the free body diagram method for the truck. +x

2. A Ford F-150 pick-up truck is going up Gospel Hill towing a trailer. The mass of the pick-up truck is 2M and the mass of the trailer is M. The hill is inclined at an angle of 8 from horizontal. Neglect any friction force between the trailer and the road. The driver steps on gas, accelerating up the hill with an acceleration of magnitude a. The truck does not slip. a. Draw the FBDs for the truck, the cart, and the system. b. What is the friction force between the truck and the road? Follow the free body diagram method for the system. c. What is the force that the truck hitch exerts on the trailer? Follow the free body diagram method for the trailer. Q.. = +y = = d. The truck starts slipping when the acceleration reaches 1.5 g sin 8. What is the coefficient of static friction between the road and the tires? Follow the free body diagram method for the truck. +x

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.79P: The coefficient of rolling resistance between the 30-kg lawn roller and the ground is r=0.1. (a)...

See similar textbooks

Similar questions

The coefficient of rolling resistance between the 30-kg lawn roller and the ground is r=0.1. (a) Determine the force P required to pull the roller at a constant speed. (b) What force P would be needed to push the roller at a constant speed?
If the pulley shown are weightless and frictionless,a. Find the acceleration of block B.b. Find the acceleration of block A.c. Find the Tension on the cable supporting block B.
In the system in which the first starts to move without speed, the masses of 10, 1 kg each, with the effect of the 18 N force T, with a radius of R=578 mm in t secondsIt reaches an angular velocity of 141 rpm. Since the radius of the pulley is r= 165 mm, ignore the friction and all the masses except the four masses.Find t by
A block of mass 4m can move without friction on a horizontal table. The block is attached to another block of mass m by a string that passes over a frictionless pulley. If the masses of the string and the pulley are negligible, what is the magnitude of the acceleration of the descending block?
In a Porter governor, the mass of the central load is 18 kg and the mass of each ball is 2 kg. The top arms are 250 mm while the bottom arms are each 300 mm long. The friction of the sleeve is 14 N. If the top arms make 45° with the axis of rotation in the equilibrium position, find the range of speed of the governor in that position. 503.2
MACHINE ELEMENTS CART A was being pulled by the BLOCK B. The weight of CART A is 500 lb. and the kinetic frictions at point C and D are 0.25 and 0.35 respectively. If BLOCK B was sliding down with an acceleration of 5 fps2. Find the needed weight of BLOCK B. to pull the CART A. with coefficient of kinetic friction of .45.
In a Porter governor, the mass of the central load is 18 kg and the mass of each ball is 2 kg. The toparms are 250 mm while the bottom arms are each 300 mm long. The friction of the sleeve is 14 N. Ifthe top arms make 45° with the axis of rotation in the equilibrium position, find the range of speed ofthe governor in that position.
Blocks A, B, and C are placed as in Fig. and connected by ropes of negligible mass. Both A and B weigh 25.0 N each, and the coefficient of kinetic friction between each block and the surface is 0.35. Block C descends with constant velocity. (a) Draw separate free-body diagrams showing the forces acting on A and on B. (b) Find the tension in the rope connecting blocks A and B. (c) What is the weight of block C? (d) If the rope connecting A and B were cut, what would be the acceleration of C?
Collars A and B are connected by a 525 mm wire and can slide freely, without friction, on the rods. If the force P = 370j [N] is applied to collar A and the system is in balance, calculate the intensity of the forces. Calculate the intensity of the tractive force on the wire, when y =155mm.
In a governor of the Hartnell type the arms of the bell-crank leversare equal in length, and those carrying the operating masses arevertical when the governor is rotating at its mean speed of 775rev/min, with the masses moving in a circle of 175 mm diameter -The usual central controlling spring is replaced by two paralleltension springs direetly connecting the operating masses. Find(a) the magnitude of each operating mass if a force of 90 N isrequired at the sleeve to maintain it in the mean speed positionwhen the specd is increased from 775 to 800 rev/m in(b) the stiffness, or rate, of each spring if the ratio of sleevemovement to increase of speed is 1 mm to 10 revImin when inthe mean speed position.
Q 1: Determine the maximum possible acceleration on a level road, assuming (a) fourwheeldrive, (b) rear-wheel drive, (c) front-wheel drive. Assuming the coefficient of static frictionbetween the tires and the road is 0.8.
In the figure shown, the coefficient of kinetic friction between the block and the incline is 0.40. What is the magnitude of the acceleration of the suspended block as it falls? Disregard any pulley mass or friction in the pulley.