
Concept explainers
(a)
The velocity of the wheel’s center at time t.

Answer to Problem 17.70P
Velocity of wheel center at time t will be,
Explanation of Solution
Given:
Wheel is initially at rest and it is relased from an indined surface from rest.
Wheel radius is
The radius of gyration of the wheel is
Initial velocity
Concept used:
Impulse momentum principle,
Moment of inertia
Assume rolling of the wheel without sliding
According to theimpulse-momentum principle,
Taking moment about the point of contact C,
Considering the rolling motion of the wheel,
also a moment of inertia,
putting values in equation (1),
Conclusion:
In this way we can calculate the velocity of the wheel at time t by the impulse-momentum principle and simple calculation,
(b)
The coefficient of static friction needed to overcome the slipping of the wheel.

Answer to Problem 17.70P
Coefficient of friction between wheel and surface needed to overcome slipping of the wheel is
Explanation of Solution
Given:
Wheel radius is
The radius of gyration of the wheel is
Initial velocity
Concept used:
Impulse momentum principle,
Moment of inertia
Assume rolling of the wheel without sliding
Parallel component of inclination
The normal component of indignation
As we know thsat, the coefficient of friction is the ratio of force to the normal reaction between the two objects.
Thus we have,
Conclusion:
Hence, by calculating the normal and parallel component of indignation, we get the value of the coefficient of friction between wheel and slope is
Want to see more full solutions like this?
Chapter 17 Solutions
Vector Mechanics For Engineers
- This is an old practice exam. The answers are OAB = 19.10 ksi OBC = 2.228 ksi OCD = −2.865 ksi v = 0.2792delta Ltot = 0.01585 in (increase) but whyarrow_forwardA random poly(styrene-butadiene) copoly- mer has a number-average molecular weight of 350,000 g/mol and a degree of polymerization of 5000. Compute the fraction of styrene and buta- diene repeat units in this copolymer. H H | | -C-C- 방 Harrow_forwardDesign and assemble on the fluidsim (or a draft) the Hydraulic Drive Circuit, with the following characteristics: (a) Sequential operation, pressure, for the advance and return of the cylinders (according to the proper operation for the device) controlled by a directional 4x3 way, closed center; (b) Speed control for the cylinders, according to the load signal; (c) Pressure counterbalance for cylinder A, in order to compensate for the weight of the assembly.arrow_forward
- This is an old exam practice question. The answer is Pmax = 218.8 kN normal stress governs but why?arrow_forwardMoist air initially at T₁ = 140°C, p₁ = 4 bar, and p₁ = 50% is contained in a 2.0-m³ closed, rigid tank. The tank contents are cooled to T₂ 35°C. Step 1 Determine the temperature at which condensation begins, in °C.arrow_forwardAir at T₁ = 24°C, p₁ = 1 bar, 50% relative humidity enters an insulated chamber operating at steady state with a mass flow rate of 3 kg/min and mixes with a saturated moist air stream entering at T2=7°C, p₂ = 1 bar. A single mixed stream exits at T3-17°C, p3=1 bar. Neglect kinetic and potential energy effectsarrow_forward
- Hand calculation of cooling loadarrow_forwardAn HEV has a 24kW battery. How many miles can it go on electricity alone at 40 mph on a flat straight road with no headwind? Assume the rolling resistance factor is 0.018 and the Coefficient of Drag (aerodynamic) is 0.29 the frontal area is 2.25m^2 and the vehicle weighs 1618 kg.arrow_forwardAs shown in the figure below, moist air at T₁ = 36°C, 1 bar, and 35% relative humidity enters a heat exchanger operating at steady state with a volumetric flow rate of 10 m³/min and is cooled at constant pressure to 22°C. Ignoring kinetic and potential energy effects, determine: (a) the dew point temperature at the inlet, in °C. (b) the mass flow rate of moist air at the exit, in kg/min. (c) the relative humidity at the exit. (d) the rate of heat transfer from the moist air stream, in kW. (AV)1, T1 P₁ = 1 bar 11 = 35% 120 T₂=22°C P2 = 1 bararrow_forward
- The inside temperature of a wall in a dwelling is 19°C. If the air in the room is at 21°C, what is the maximum relative humidity, in percent, the air can have before condensation occurs on the wall?arrow_forwardThe inside temperature of a wall in a dwelling is 19°C. If the air in the room is at 21°C, what is the maximum relative humidity, in percent, the air can have before condensation occurs on the wall?arrow_forward###arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY





