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
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
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Problem 7.23P: The 40-lb spool is suspended from the hanger GA and rests against a vertical wall. The center of...
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![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)
P
(d)
Free-body, matic 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
Figure Q6
m, r, k
•Hs, Hk](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1c8df78-ce2a-4039-b2d2-90e5f555da8a%2F9865ae13-0f48-4a87-baab-9a09bc091dc1%2F6ob721l_processed.png&w=3840&q=75)
Transcribed Image Text: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)
P
(d)
Free-body, matic 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
Figure Q6
m, r, k
•Hs, Hk
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