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CP 9 Take Home

1) A horizontal force of 10 lb is applied to block A on an inclined plane. The acceleration of block B can be determined to be aa tan 15° since aB=aa tan 15°. 2) If blocks A and B with masses 10 kg and 6 kg are placed on an inclined plane and released, the force developed in the link connecting them can be determined using the coefficients of kinetic friction between the blocks and plane. 3) Given the masses and coefficients of friction between block A (40 kg) and B (8 kg), the acceleration of block B and tension in the cord can be found if a force P of 40 N is applied to the system.

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0% found this document useful (0 votes)
289 views2 pages

CP 9 Take Home

1) A horizontal force of 10 lb is applied to block A on an inclined plane. The acceleration of block B can be determined to be aa tan 15° since aB=aa tan 15°. 2) If blocks A and B with masses 10 kg and 6 kg are placed on an inclined plane and released, the force developed in the link connecting them can be determined using the coefficients of kinetic friction between the blocks and plane. 3) Given the masses and coefficients of friction between block A (40 kg) and B (8 kg), the acceleration of block B and tension in the cord can be found if a force P of 40 N is applied to the system.

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Tidal Surges
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© © All Rights Reserved
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CP 9 Take Home.

Particle Kinetics- Force Inertia Method

1. If a horizontal force of P=10 lb is applied to block A,


determine the acceleration of block B. Neglect friction.
Hint: Show that aB=aa tan 15°

2. If blocks A and B of mass 10 kg and 6 kg


respectively, are placed on the inclined plane and
released, determine the force developed in the
link. The coefficients of kinetic friction between the
blocks and the inclined plane are 𝜇𝐴 = 0.1 and
𝜇𝐵 = 0.3. Neglect the mass of the link.

3. Block A has a mass of 40 kg and block B has a


mass of 8 kg. The coefficient of friction
between all surfaces of contact are 𝜇𝑠 = 0.20
and 𝜇𝑘 = 0.15. If P= 40 N, determine a) the
acceleration of block B and b) tension in the
cord.

4. As part of an outdoor display, a 12 lb model C of the Earth is attached to


wires AC and BC and revolves at a constant speed v, in the horizontal circle
shown. Determine the range of the allowable values v, if both wires are to
remain taut and if the tension in either of the wires is not to exceed 26 lbs.

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