The disk has a weight of 10 lb and is pinned at its center O. If a vertical force of P = 2 lb is applied to the cord wrapped around its outer rim, determine the angular velocity of the disk in four scconds starting from rest. Neglect the mass of the cord.

The disk has a weight of 10 lb and is pinned at its center O. If a vertical force of P = 2 lb is applied to the cord wrapped around its outer rim, determine the angular velocity of the disk in four scconds starting from rest. Neglect the mass of the cord.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: F19-1. The 60-kg wheel has a radius of gyration about its center O of ko = 300 mm. If it is…

A: Given Data: The mass of the wheel is m = 60 kg. The radius of gyration of the wheel is ko = 300 mm.…

Q: F19-2. The 300-kg wheel has a radius of gyration about its mass center O of ko = 400 mm. If the…

Q: 17-63. The 10-lb bar is pinned at its center O and connected to a torsional spring. The spring has a…

A: Write the expression of the moment of inertia of the rod. Take moment about point O.

Q: The wheel has a mass of 100 kg and a radius of gyration of kO = 0.2 m. A motor supplies a torque M =…

A: Given DataMw = 100 kgko = 0.2mM = 40.4 + 900 N.mMC = 300 kgS = 4mInitially S = 0, V = 0To find Speed…

Q: F19-2. The 300-kg wheel has a radius of gyration about its mass center O of ko = 400 mm. If the…

Q: The slotted arm revolves about a normal axis through point O with a constant angular velocity w.The…

A: Given datar=20+2 sin(n wt)where n= number of lobes=6 in casesw=12 rad/sspring compression 11.5 N to…

Q: The rod assembly is supported by a ball-and-socket joint at C and a journal bearing at D, which…

A: Solution:

Q: Q1: The rope is wrapped around the central core of the 95 kg coil, whose rotating radius relative to…

A: Given data:

Q: The dump truck carries 5 m³ of dirt with a density of 1600 kg /m³, and the elevating mechanism…

A: Data given - Volume of dump truck = 5 m3 Density = 1600 kg /m3 Mass m = density × volume =…

Q: *18-4. A force of P = 60N is applied to the cable, which causes the 200-kg reel to turn since it is…

A: Given data: *The force applied to the cable is P=60 N. *The mass of the reel is m=200 kg. *The…

Q: 18-41. The spool has a mass of 20 kg and a radius of gyration of ko = 160 mm. If the 15-kg block A…

A: Given that: The mass of the spool m=20 kg. The radius of gyration is K0=160 mm The angular velocity…

Q: 19–9. The disk has a weight of 10 lb and is pinned at its center O. If a vertical force of P = 2 lb…

A: Calculate the mass of the disk using the given weight of the disk. Here, m is the mass of the disk,…

Q: Q3) Pulley A weighs 7.5 kg and has a radius of gyration of ko= 0.25 m. If the system is released…

Q: 18-5. A force of P = 20 N is applied to the cable, which causes the 175-kg reel to turn since it is…

A: The data given is, Force applied on cable, P = 20 kN Mass of the reel, MG = 175 kg The radius of…

Q: The two disks are stuck together, the total mass of the disks is 25 Kg, and a radius of gyration ka…

Q: *18-44. Determine the speed of the 50-kg cylinder after it has descended a distance of 2 m, starting…

A: Write the expression of the moment of inertia of gear A. Write the expression of the moment of…

Q: F19-3. If rod OA of negligible mass is subjected to the couple moment M = 9N-m, determine the…

A: Given data: *The couple moment subjected on the rod OA is M=9 Nm. *The mass of the inner gear is…

Q: T The force of T = 30 N is applied to the bord of negligible mass. Determine the angular velocity of…

Q: 200 mm 75 mm F A

Q: The spool has a mass of 50 kg and a radius of gyration ko = 0.280 m. If the 20-kg block A is…

A: To determine the solution to the given question, we must do the energy balance of the system between…

Q: The rod AB has a mass of 20 kg，the mass of the piston A and B are both 5kg. Piston B is attached to…

Q: The drum has a weight of 90 lb and a radius of gyration of 0.42 ft. If a cable is wrapped around the…

Q: The airplane is traveling in a straight line with a speed of 300 km/h, when the engines A and B…

A: Given data: TA = 40 kN TB = 20 kN Time, t = 5s Mass, m = 200 mg Radius of gyration, kG = 15 m

Q: The assembly consists of two 8-lb bars which are pin connected to the two 10-lb disks. If the bars…

Q: F18-11. The 30-kg rod is released from rest when 0 = 45°. Determine the angular velocity of the rod…

A: Given data: Mass of the rod, m = 60 kg Stiffness of the spring, k = 300 N/m Length of the rod, l =…

Q: 1. If the cord is subjected to a horizontal force of P = 150N, and gear is supported by a fixed pin…

Q: The 30-kg gear is subjected to a forcec of P = (20x) N, where tis in scconds Determine the angular…

A: The data given is, Mass of the gear, m = 30 kg Radius of gyration, ko = 125 mm = 0.125 m Radius of…

Q: 17-62. The 10-lb bar is pinned at its center O and connected to a torsional spring. The spring has a…

A: Given data Weight of the bar, W = 10 lb. Stiffness of the spring, k = 5 lb·ft/rad. Torque developed…

Q: The small object m is placed on the inner surface of the conical dish that rotates about the…

A: Object move outward I,e friction will be downward FBD of the system

Q: The 31-kg reel is mounted on the 16-kg cart. Part A: If the cable wrapped around the inner hub of…

Q: F17-8. The 50-kg disk is subjected to the couple moment of M = (91) N. m, where t is in seconds.…

A: Given: The couple moment is M=(9t) N-m. The mass of the disk is m=50 kg. The radius of the disc is…

Q: The 250-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.4 m.…

Q: The frame of the tandem drum roller has a weight of 4025 lb, excluding the two rollers. Each roller…

A: Given data The frame of the tandem drum roller has a weight = 4025 lb radius of gyration about its…

Q: A force of P = 20 N is applied to the cable, which causes the 175-kg reel to turn since it is…

A: Given P = 20 N Reel mass = 175 kg kG = 0.42 m To find Angular velocity of reel

Q: A force of P = 60 N is applied to the cable, which causes the 200-kg reel to turn since it is…

A: Draw the free-body diagram of the reel.

Q: Specifically a dynamics problem. Question in pic below. Answer: vA = 1.40 m/s

A: Given data as per question Radius of gyration = 45 mm Mass of blocks = 2 kg Distance descended by…

Q: The 10 [kg] punching bag has a radius of gyration about its center of mass G of kg = 0.2 [m). It is…

A: Given mass of bag , m = 10 kgkG = 0.2 mF = 33 NSince ∈fx = M(au)x F= M(au)x33 = 10(au)x(au)x = 3310=…

Q: The homogenous disk B of mass mB=10 kg is free to rotate on the shaft S. If the shaft is turning…

A: The velocity of an item is a function of time and is defined as the rate of change of its location…

Q: 1. The spool has a mass of 50 kg and a radius of gyration ko = 0.280 m. If the 20-kg block is…

A: Given Data ms=50 kg mb=20 kg v=4 m/s

Q: ation 5 The 20-kg wheel has a radius of gyration ko - 400 mm where O is the center of the wheel. If…

Q: 18-50. The compound disk pulley consists of a hub and attached outer rim. If it has a mass of 3 kg…

A: Given: The mass of the hub and rim combined is m=3 kg. The radius of gyration is kG=45 mm. The…

Q: 4. The compound disk pulley consists of a hub and attached outer rim. If the disk has a mass of 3 kg…

A: To obtain the correct solution to the above question, the Work energy theorem must be applied. The…

Q: The force of T = 20 N is applied to the cord of negligible mass. Determine the angular velocity of…

A: Draw the free-body diagram of the wheel.

Q: The spool has a mass of 20 kg and a radius of gyration of ko = 160 mm. If the 15-kg block A is…

A: To obtain the solution to the given question, we must do the energy balance of the body from its…

Q: The uniform 80 kg slender rod is at rest in the position shown when P = 450 N is applied. Determine…

Q: *18–16. A motor supplies a constant torque M = 6 kN • m to the winding drum that operates the…

A: Free body diagram of the figure,

Q: 18-38. The spool has a mass of 50 kg and a radius of gyration of ko = 0.280 m. If the 20-kg block A…

A: Given Mass, M = 50 kg m = 20kg Angular velocity = 5 rad/s Find…

Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

The disk has a weight of 10 lb and is pinned at its center O.
If a vertical force of P = 2 lb is applied to the cord wrapped
around its outer rim, determine the angular velocity of the
disk in four scconds starting from rest. Neglect the mass of
the cord.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Design of Power Transmission Elements and Power Transmission Systems

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

The 10-kg uniform slender rod is suspended at rest when the force of F = 150 N is applied to its end. Determine the angular velocity of the rod when it has rotated 180° clockwise from the position shown. The force is always perpendicular to the rod.
The spool has a mass of 20 kg and a radius of gyration of kO = 160 mm If the 15-kg block A is released from rest, determine the velocity of the block when it descends 850 mm .
The disk, which has a mass of 40 kg, is subjected to the couple moment of M = (2θ + 6) N m, where θ is in radians. If it starts from rest, determine its angular velocity when it has made two and a half revolutions.
The slender 9-kg bar AB is horizontal and at rest, and the spring is unstretched. Determine the angular velocity of the bar when it has rotated clockwise 30° after being released. The spring remains vertical during the motion.
The rod assembly is supported by a ball-and-socket joint at C and a journal bearing at D, which develops only x and y force reactions. The rods have a mass of 0.7 kg/m. Determine the angular acceleration of the rods and the components of reaction at the supports at the instant w=9 rad/s as shown.
The thin 12 kg bar has an angular velocity in a clockwise direction ω = 1.5 rad/s when in position shown. Determine its angular acceleration and the normal reactions of the smooth surface A and B at that time. i = (1/12) M . L² for a homogeneous thin bar of mass M and length L.
The wheel has a mass of 100 kg and a radius of gyration of kO = 0.2 m. A motor supplies a torque M = (40u + 900) N #m, where u is in radians, about the drive shaft at O. Determine the speed of the loading car, which has a mass of 300 kg, after it travels s = 4 m. Initially the car is at rest when s = 0 and u = 0°. Neglect the mass of the attached cable and the mass of the car’s wheels
The 31-kg reel is mounted on the 16-kg cart. Part A: If the cable wrapped around the inner hub of the reel is subjected to a force of P=50N, determine the velocity of the cart when t = 4.2 s. The radius of gyration of the reel about its center of mass O is kO=250mm. Neglect the size of the small wheels. Part B: Determine the angular velocity of the reel when t = 4.2 s.
The body and bucket of a skid steer loader has a weight of 2000 lb, and its center of gravity is located at G. Each of the four wheels has a weight of 100 lb and a radius of gyration about its center of gravity of 1ft. If the engine supplies a torque of M = 100 lb ft to each of the rear drive wheels, determine the speed of the loader in t = 10 s starting from rest. The wheels roll without slipping
The 3.8 kg block is descending at a rate of 1.2 m/s when the hydraulic cylinder BC exerts a force F=500 N on the brake arm. Determine the number of radians the wheel will rotate before the system comes to rest. The wheel has a mass of 25 kg and a radius of gyration about its center kO=300 mm. The coefficient of kinetic friction between the brake arm and the wheel is 0.25.
The double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 32 kg and a radius of gyration k_O = 260 mm. The men A and B have a mass of 60 kg and 70 kg, respectively. Assume they do not move relative to the rope during the motion. Neglect the mass of the rope. If two men A and B grab the suspended ropes and step off the ledges at the same time, determine the speed of man A in 4.2 s starting from rest. vA= ??? If two men A and B grab the suspended ropes and step off the ledges at the same time, determine the speed of man B in 4.2 s starting from rest. vB= ???
Each of the two links has a mass of 2 kg and a centroidal radius of gyration of 60mm. The slider at B has a mass of 3 kg and moves freely in the vertical guide. The springhas a stiffness of 6 kN/m. If a constant torque M = 20 N∙m is applied to link OA throughits shaft at O starting from the rest position at θ = 45°, determine the angular velocity ofOA when θ = 0.