A cart (mass M|) is pulled on a horizontal track by a string that passes over a

Question

A cart (mass M|) is pulled on a horizontal track by a string that passes over a Smart Pulley and is attached to a weight (mass M2) as shown in the sketch. The rolling friction force of the car t is f, and the resulting acceleration of each mass is a. Apply Newton's laws to each mass and combine these to deduce the formula The experimental data will be the measurements of accelerations a of the total mass for few values of M2. You will plot the product (Mi + M2) middot a (y-axis) against M2 (x-axis) to obtain a straight line. Explain how the free fall acceleration g and friction force f can be obtained from this straight line graph.

Explanation / Answer

Assume tension in rope connecting M1 and M2 be T.

M2g - T = M2a

T - f = M1a

M2g - f = M2a + M1a

M2g - f = (M1 +M2)a

Slope of the staright line will give the value of g.

Intercept on the y-axis will give the value of -f. Multiplying it with -1 will give the value of f.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.