4cd.instructure.com aaM W Pulley Physics Problems With Two Masses- Finding Accel

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4cd.instructure.com aaM W Pulley Physics Problems With Two Masses- Finding Acceleration & newtonian mechanics- Pulley system on a frictionless cart Physics A Rope Of Total Mass M And Length L Is Suspended A... Chegg.com Quiz Prep 3 LMC Phy 40 Spring 2018.pdf t, Download Info ×Close -ZOOM + 2. The system shown below of two connected blocks resting on a cart is held motionless and then released. All surfaces are perfectly smooth (frictionless). The string is inelastic and has negligible mass, the pulley has negligible mass and friction, and the cart's wheels offer no retarding forces. The cart has mass M-100 kg, the top block has mass m45.0 kg, and the hanging block has mass m,-60.0 kg. Gravity is 9.81 m/s (a) What is the tension in the string? respectively? why b) what are the directions and accelerations of the two blocks, a, and do they not need to be equal to each other? NOTE: Newton's laws must be made in an inertial reference frame and the cart is definitely not an inertial reference frame. The ground, however, is. (c) What is the direction and magnitude of the acceleration of the cart? Represent this acceleration as A

Explanation / Answer

Since Newton's laws hold good only in an inertial reference frame which is the ground in this case we can apply these laws and obtain the 2 force equations:

m2g-T=m2a2 eq 1)

T=m1a1=m1(a2-A) eq 2)

since a1=a2-A.

Thus if we are given the value of the cart's acceleration A we can determine the tension in the string as well as the acceleration of the 2 masses a1 and a2 by solving the above 2 equations.

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