Q6. A wheel with a mass m = 25 kg, rolling radius r = 0.35 m and centroidal radius of gyration k = 0.3 m, rests on a cart of mass M = 50 kg. as shown in Figure Q6. The coefficients of friction between the wheel and the cart are =.3 and =0.2, respectively. You are required to determine the maximum horizontal force P that may be applied to the cart for which the wheel not slip as it begins to roll on the cart. Your solution must contain the following information in the order as listed: (a) Identification of the type of ensuing motion of the wheel and the cart. (b) (c) (d) Free-body, kinematic and kinetic diagrams of the system. Statements in readily usable format of the relevant kinetic and kinematic relationships with respect to a global reference axes system. Details, in a concise and systematic way, of calculations of the maximum value of P. M m, r, k Hs, Hk

Q6. A wheel with a mass m = 25 kg, rolling radius r = 0.35 m and centroidal radius of gyration k = 0.3 m, rests on a cart of mass M = 50 kg. as shown in Figure Q6. The coefficients of friction between the wheel and the cart are =.3 and =0.2, respectively. You are required to determine the maximum horizontal force P that may be applied to the cart for which the wheel not slip as it begins to roll on the cart. Your solution must contain the following information in the order as listed: (a) Identification of the type of ensuing motion of the wheel and the cart. (b) (c) (d) Free-body, kinematic and kinetic diagrams of the system. Statements in readily usable format of the relevant kinetic and kinematic relationships with respect to a global reference axes system. Details, in a concise and systematic way, of calculations of the maximum value of P. M m, r, k Hs, Hk

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

Similar questions

Figure shows a system of cylinder (m = 55 kg) and a load (m = 62 kg) connected through a rope. The system is released from rest and the load L moves along the inclined surface. The kinetic coefficient of friction between the load and the inclined surface is 0.22. The radius of gyration of the cylinder is 0.8 m. Take d1 = 0.5 m, d2 = 1.4 m, and a = 66°. Determine the angular velocity of the cylinder after the load L slides 1.6 m on the inclined surface. d2 d1 C The angular velocity of the cylinder is, [rad/s].
Answer the problem in the picture
A uniform ladder of mass 21 kg and length 6.2 m leans against a smooth wall at an angle 64° with respect to the ground. A person of mass 65 kg climbs up the ladder to a point two-thirds of the way to the top. Assume that there is no friction between the top of the ladder and the wall. Compute the minimum coefficient of static friction between the ladder and the ground that would prevent the ladder from slipping. The acceleration of gravity is 9.8 m/s2.
The 20 kg symmetrical barrel whose radius is 1m shown in the figure is positioned at rest on the 35 deg. inclined plane by a weight B suspended from a cable wrapped around the barrel. If slipping impends, find B and the coefficient of friction.
Draw the Free Body Diagram for all the solutions require to answer the given questions.
a 120 Kg car is being lowered slowly unto the dock usig the hoist A and winch C determine the force in cable AV for the positions
The 136-kg industrial door with mass center at G is being positioned for repair by insertion of the 6° wedge under corner B. Horizontal movement is prevented by the small ledge at corner A. The coefficients of static friction at both the top and bottom wedge surfaces are 0.58. Calculate the rightward force P' which would remove the wedge from under the door. Assume that corner A does not slip for your calculation of P, but then check this assumption; the coefficient of static friction at A is 0.58.
1. For the part below that consists of a semicircle on top of a rectangle, with r = 7 in and h =1 in, determine: a. Centroid and y [in] b. Area moment of inertia I [in*] 2r 2. Determine what static coefficient of friction µ, is needed so that the part will not slide down the hill with an angle 0: = 33° and a weight W = 174 N. W 3. Determine the longitudinal center of gravity of a composite round bar that is made of aluminum and steel stacked on top of each other. The aluminum piece has a diameter of 0.5 in, a length of 6 inches and a density Ya = 0.098 #/in³. The steel piece has a diameter of 0.25 in, a length of 4 inches and a density Ys = bottom of aluminum piece and draw clearly the bar with dimensions. %3D 0.284 #/in. Note: provide answer from
For the block system in figure below. Determine the smallest force P that impending motion. The block weights (A = 40 Kg, B = 50 Kg, C = 4O Kg and D = 3O Kg). The coefficients of static friction at all ground surfaces is us = 0.3 and between block C and D is us = 0.25 (neglect the friction on the pulleys)
Hi! I need answers in these three questions. Thank you!
300 mm 3. The spool shown has a mass of 80 kg, a radius of gyration of kg of 200 mm, and outer inner radii of 300 mm and 150 mm, respectively. If a force P of 200 N is applied vertically to the cable shown, what is the 150 mm accleration of G? The coefficient of static and dynamic friction are 4. = 0.12 and fk = 0.08, respectively.