375*K4 mm k = 50*K2 N/m 50*K4 mm B www A 50* K4mm 100* K4 mm 3- A 2*K2 kg wheel has a radius of gyration about its center of gravity, of m. The wheel is released from the rest position. It then rolls K3 without slipping and rotates 90 degrees clockwise. The spring has a stiffness of 50*K2 N/m, and its natural length is 125*K4 mm. a- Compute the moment of inertia of the wheel with respect to its center of gravity. b- Compute the initial potential energy of the system (before rolling) c- Compute the final potential energy of the system (after rotating 90 degrees)

375K4 mm k = 50K2 N/m 50K4 mm B www A 50 K4mm 100* K4 mm 3- A 2K2 kg wheel has a radius of gyration about its center of gravity, of m. The wheel is released from the rest position. It then rolls K3 without slipping and rotates 90 degrees clockwise. The spring has a stiffness of 50K2 N/m, and its natural length is 125*K4 mm. a- Compute the moment of inertia of the wheel with respect to its center of gravity. b- Compute the initial potential energy of the system (before rolling) c- Compute the final potential energy of the system (after rotating 90 degrees)

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 7.11P: Solve Prob. 7.10 assuming that the pick-up truck has front-wheel drive.

See similar textbooks

Similar questions

The slender 8-kg bar AB is horizontal and at rest. The spring has an unstretched length sọ of 1 m and a spring constant of 15 N/m. the length of the bar AB is l1.Sm Find the angular velocity when e - 45° when the bar has rotate clockwise - 45° after being released. Give your answer with 2 decimals and include the sign
The wheel shown below has a mass of 5 slugs and a radius of gyration for the z-axis through point Cof 0.7 ft. The spring is massless and has a modulus of 20 lb/ ft and a natural (unstretched) length of 4 ft. Use the acceleration due to gravity, g = 322 ft/sec. The wheel is released from rest, and it rolls without slipping on the plane. Find how far down the plane the mass center Cwill move. Cord wrapped ´around hub IT 1.3 ft 0.8 ftC 3 ft 3 4 0.5 ft
The torsional spring has a stiffness of 20 N-m/rad and is undeflected when the 3-kg uniform slender bar is in an upright position. If the bar is released from rest in the horizontal position shown, find its angular velocity as it passes the vertical position. Neglect friction effects. 4 Type here to search ThinkVision K - Pan Tab Cape Look Esc Q A Z G FT W S # ONDA 3 F2 E D A $ 4 R F 5 F4 T G XCVB 8 a Y H N P6 F6 U J M F7 K ( F8 F10 F11 +Backspace Enter T F12 Shift Print Screen SysRq Insert 0.5 m Scroll Lock Delete Home Break End Page Up Page Down Naam Lock K 37°F Cloudy Home Lenovo B 20
The 17-kg wheel is rolling under the constant moment of M = 85 N-m. The wheel has radius r= 0.50 m, has mass center at point G, and the radius of gyration is kg = 0.20 m. The coefficients of friction between the wheel and the ground is ls = 0.27 and Hk; = 0.22. If the wheel rolls while slipping, determine the angular acceleration of the wheel (in rad/s?). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s?. M G
1372. The unbalanced wheel shown in Fig. P-1372 weighs 322 lb and has a maas radius of Kyrstion of 0.866 ft with respect to a horizontal Axin through its gravity center G. At the given instant, w- 3 rad per see and a- 6 rad per oc", both clockwise. If the heel does not alip, determine the value of P which ia directed parallel to the ineline. Ana. P- 251 lb 1373. If the unbalanced wheel described in Prob. 1372 starta from rest when at the posi- tion shown in Fig. P-1372 and does not alip, determine the initial angular neceleration cauned hy a pull P- 24O Ib.
The 16-kg wheel is rolling under the constant moment of M = 60 N-m. The wheel has radius r= 0.50 m, has mass center at point G, and the radius of gyration is kg = 0.23 m. The coefficients of friction between the wheel and the ground is ls = 0.28 and Uk = 0.14. If the wheel rolls without slipping, determine the angular acceleration of the wheel (in rad/s?). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s?. M
In the multi-rotor system shown below, m1=2 kg, m2=5 kg, r1=36 mm, r2=65 mm, z1=119 mm, z2=414 mm, θ1=118o, θ2=252o. We have 2 kg masses to balance the multi-rotor shaft. Answer questions a, b, c, and d accordingly. 1/ Determine the radius at which the 2 kg mass will be placed on the R plane (mm). a.35,763 b.268,220 c.53,644 D.107,288 2/Determine the angle (degrees) at which the 2 kg mass will be placed on the R plane. a.69,256 b.83,107 c.90,033 D.55,405 3/ Determine the radius at which the 2 kg mass will be placed on the L plane (mm). a.105,006 b.12,251 c.36,752 D.18,376 4/Determine the angle (degrees) at which the 2 kg mass will be placed on the L plane. a.30,085 b.37,607 c.43,248 D.45,128 solve the question by using the rules of Machine Dynamics
A forklift and its driver have a total weight of 50000 and the center of mass in at G. What is the reaction force on each of the wheels when the 8000 weight load is pulled up with an acceleration of 1.5 m/s^2? (a= 1.2 meter, b= 0.9 meter, c= 1.7 meter, h= 3.5 meter)
if mass (m)=345kg radius of gyration kG = 0.54 m θ= 200 degree Tmin=1523 N assuming no slipping 1) Find aG, α, the value of the friction force (f) and the normal reaction force on the spool by the ground if T = 0.5 Tmin.
The 25-kg wheel is rolling under the constant moment of M = 73 N-m. The wheel has radius r= 0.52 m, has mass center at point G, and the radius of gyration is kG = %3D 0.21 m. The coefficients of friction between the wheel and the ground is ls = 0.26 and lk = 0.18. If the wheel rolls without slipping, determine the angular acceleration of the wheel (in rad/s²). Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M G Your Answer: Answer
Determine the equivalent spring constant of the system where the spring will be located in the position of k1. k1=1N/m, k2=5N/m (answer in N/m) * Sphere, mass m, No slip Bell crank lever, - mass moment of inertia Jo 06. m
The spool has mass, m, and a radius of gyration kG. An inextensible cord is attached to the wall at A. The cord is wound around the radius R and the outer radius 2R. The coefficient of friction between the spool and the ground is mu. What it the critical force, Fcrit (force required to cause motion) applied at point B? If force= 2Fcrit what is the linear acceleration of the center of mass? If force= 2Fcrit what is the tension in cord AC?