## Pulley Problems » Spumone

Mar 16,  · It would have been better if you had given some more details of the set of problems you are trying to solve. Anyway, lets understand the following situation and see how we can solve it. Suppose, there is a pulley with rope on which the two blocks. The required equations and background reading to solve these problems are given on the friction page, the equilibrium page, and Newton's second law page. Problem # 1 A block of mass m is pulled, via pulley, at constant velocity along a surface inclined at angle θ. The coefficient of kinetic friction is μ k, between block and surface. There are two ways to do this problem,,one needs understanding and the other one is a method that i have developed for which u just need to know the tension in the strings connecting the blocks, Since it is not possible for me to explain the logic.

## A pulley system — Collection of Solved Problems

The required equations and background reading to solve these problems are given on the friction pagethe equilibrium pageand Newton's second law page. Determine the pulling force How to solve pulley problems. Determine the acceleration of the blocks. Ignore the mass of the pulley. Hint and answer Problem 3 Two blocks of mass m and M are connected via pulley with a configuration as shown. What is how to solve pulley problems maximum mass m so that no sliding occurs?

What is the minimum and maximum mass M so that no sliding occurs? Hint and answer Problem 5 Two blocks of mass m and M are connected via pulley with a configuration as shown. Formulate a mathematical inequality for the condition that no sliding occurs.

There may be more than one inequality. Ignore the mass of the pulleys. Hint and answer Problem 8 A block of how to solve pulley problems m is lifted at constant velocity, how to solve pulley problems, via two pulleys as shown. Hint and answer Problem 9 A block of mass M is lifted at constant velocity, via an arrangement of pulleys as shown.

Hint and answer The hints and answers for these pulley problems will be given next. Apply Newton's second law to the block on the left. Apply Newton's second law to the block on the right. Combine these two equations and we can find an expression for the acceleration of the blocks. For the minimum mass Mthe block is on the verge of sliding up the incline.

We can calculate the minimum M from the previous equation. It took me a while to figure this one out! There are three more cases to consider. Apply the equilibrium equation to block M in which it is on the brink of sliding down, how to solve pulley problems.

Note that the system naturally "settles" such that the rope tension T required to stop the block from sliding down is the minimum possible amount. For T T min1 the block slides down. Call this equation 1.

T min1 must be provided by the block m and must not exceed the maximum rope tension which can be resisted by block m and not be pulled up the incline. Call this equation 2. This is the same as case 1, by symmetry. The blocks will slide together in one direction or the other. To determine the direction we must first calculate the net force pulling down on each block along their respective inclines, as a result of gravity.

We now have three sub-cases to consider. The final inequalities for this case will be given within these three sub-cases, as follows. Note that F net1 is equal to the rope tension, and this rope tension is the minimum required to prevent block M from sliding down the incline. Note that F net2 is equal to the rope tension, and this rope tension is the minimum required to prevent block m from sliding down the incline.

Hint and answer for Problem 7 Apply the condition of static equilibrium to the block. The term 2 F comes from a force analysis in which we see that there are two segments of rope pulling equally on the block. We then solve this equation for F. The tension in the rope is assumed equal throughout its length a good assumption for ropes in general since they weigh little. Three of the four rope segments are vertical while the remaining rope segment is at a small angle with the vertical.

But for ease of calculation we can treat it as being exactly vertical. Since we are ignoring the mass of the pulleys, the tension in the four rope segments must equal the weight of the mass, in order to satisfy the condition of static equilibrium, how to solve pulley problems. A motor turns the top roller at a constant speed, and the remaining rollers are allowed to spin freely.

To keep the belt in tension a weight of mass m is suspended from the belt, as shown. Find the point of maximum tension in the belt. You can get the solution for this in PDF format. I am at least 16 years of age. I have read and accept the privacy policy. I understand that you will use my information to send me a newsletter. The following are a bunch of pulley exercises and problems. If you can work through and understand them you should be able to solve most standard pulley problems. The Usual Pulley Assumptions. When working through pulley problems in Engineering Dynamics, we will usually make the following assumptions. We can neglect the mass of the pulley. A bucket with mass m 2 and a block with mass m 1 are hung on a pulley system. Find the magnitude of the acceleration with which the bucket and the block are moving and the magnitude of the tension force T by which the rope is stressed. Ignore the masses of the pulley system and the rope. The required equations and background reading to solve these problems are given on the friction page, the equilibrium page, and Newton's second law page. Problem # 1 A block of mass m is pulled, via pulley, at constant velocity along a surface inclined at angle θ. The coefficient of kinetic friction is μ k, between block and surface.