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Tension on pulleys Physics Question - Physics Stack Exchange

• Collar A is connected to a 50lb load on a frictionless horizontal rod. Determine magnitude of P to maintain equilibrium when x=4.5.

Im confused on the concept of Tension

I originally got the answer 11.25 lb like the images below but my solution manual is different.

The solution manual says:

$$\tan \alpha= 20/4.5 = 77.3 d^\circ$$

sum of F sub X=0
$$-P + T \cos 77.3$$
$$P= 50lb (cos 77.3)$$
$$= 10.98lb$$

Is this because the tension in the rope is equivalent to the mass of the hanging weight? Is there a way to solve for 10.98lb using method like the one below ...i.e. adding the vector components and solving for the unknowns? confused especially on how the solution manual is using 50lb for magnitude of T and when using vector addition getting the 11 so lbs. Thanks!

...

Source: Tension on pulleys Physics Question - Physics Stack Exchange

Pulley Questions Physics
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Barron's AP Physics C, Advanced Placement Examination

Creator: Robert A. Pelcovits, Joshua Farkus | Science - 2008 Combined. Rotation. and. Translation. One very common AP problem involves calculating the acceleration of a system including both rotation (e.g., the rotation of a pulley) and translation (e.g., the vertical motion of masses connected by a ... Publisher: Barron's Educational Series

College Physics: Reasoning and Relationships

Creator: Nicholas Giordano | Science - 2009-02-13 First consider the part of the rope held by the person: it exerts an upward force on the pulley, equal in magnitude to the ... However, it is sometimes very useful to solve a problem approximately, perhaps because some important quantities ... Publisher: Cengage Learning

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Creator: Thomas Bond, Chris Hughes | Science - 2013-11-03 The figure below shows the motor pulley, the belt and the machine pulley. The belt does not slip on either pulley. Clockwise rotation Motor pulley Motor pulley belt (a) The diameter of the motor pulley is 12.0 cm; the diameter of the machine ... Publisher: Yellowreef Limited

Pulley Questions Physics
Apr 19, 7668 by foreva_lynn | Posted in Physics

i am a little behind in physics bcuz i have been busy studying for my chem exams, hence im a little lost when it comes to problems like this. please help me out. include the equations, why u used it, and also plug in the numbers with the answers, bcuz

A. The tension should be 130N. That's the force on each side and hence the tension experienced by the rope. The system is in static equilibrium.

B I can't remember my physics from old days very well, but the tension should be 70N+ (m*9.8).