7.7 The center of gravity of the 50-kg spool is at G. A cable wound aroundthe hub of the spool is attached to the 30-kg block B. The coefficients of staticfriction are 0.15 under the spool and 0.2 under the block. Determine the largestcounterclockwise couple Co that can be applied to the spool without disturbingthe equilibrium of the system1.2 m0.3 mG0.6 mCo0.5 mВ2Fig. P7.7 7.41 The 2000-lb weight of the trailer is distributed equally between its twowheels, one on each side of the trailer. The center of gravity is at G, and thewheels are free to rotate. Determine whether the trailer can be pushed over a 6-incurb without tipping, and, if so, compute the required horizontal force P.R = 12 inP|20 in.A|-36 in.-18 in4 0.46 inFig. P7.41

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Asked Sep 22, 2019
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7.7 The center of gravity of the 50-kg spool is at G. A cable wound around
the hub of the spool is attached to the 30-kg block B. The coefficients of static
friction are 0.15 under the spool and 0.2 under the block. Determine the largest
counterclockwise couple Co that can be applied to the spool without disturbing
the equilibrium of the system
1.2 m
0.3 m
G
0.6 m
Co
0.5 m
В
2
Fig. P7.7
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7.7 The center of gravity of the 50-kg spool is at G. A cable wound around the hub of the spool is attached to the 30-kg block B. The coefficients of static friction are 0.15 under the spool and 0.2 under the block. Determine the largest counterclockwise couple Co that can be applied to the spool without disturbing the equilibrium of the system 1.2 m 0.3 m G 0.6 m Co 0.5 m В 2 Fig. P7.7

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7.41 The 2000-lb weight of the trailer is distributed equally between its two
wheels, one on each side of the trailer. The center of gravity is at G, and the
wheels are free to rotate. Determine whether the trailer can be pushed over a 6-in
curb without tipping, and, if so, compute the required horizontal force P.
R = 12 in
P
|20 in.
A
|-36 in.-
18 in
4 0.4
6 in
Fig. P7.41
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7.41 The 2000-lb weight of the trailer is distributed equally between its two wheels, one on each side of the trailer. The center of gravity is at G, and the wheels are free to rotate. Determine whether the trailer can be pushed over a 6-in curb without tipping, and, if so, compute the required horizontal force P. R = 12 in P |20 in. A |-36 in.- 18 in 4 0.4 6 in Fig. P7.41

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Expert Answer

Step 1

The coefficient of static friction is 0.15 and 0.2 under the spool and block respectively. For impending sliding the friction force is equal to its limiting value,

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F = Fmax = sN -Co-efficient of static friction

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Step 2

The force exerted by block of mass 30 kg will be 30 x 9.81 = 294.3 N. The FBD of the block is shown as,

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294.3 N T Where, FB, NB and T are friction force, reaction force at point B and tension in the cable respectively

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Step 3

Now assuming impending sli...

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FB NB FB 0.2 x NB ΣFx 0 0.2NB T 0 Fy 0 T293.4 N = 0 NB Solving the above two equations, we get, T 59.83 N NB 267 N

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