Cart and Pulley Apparatus Newton’s 2nd Law may be applied to a simple system consisting of a frictionless horizontal track on which a cart plus some masses on it (total mass M), that is connected by a massless string over a frictionless pulley to a mass, m, (hanger plus some mass attached) In lab, in Activity 1, you will use a cart and track apparatus, like in the figure at right, and a hanging mass (hanger plus mass) that pulls the cart.You are to derive an equation for the acceleration of the cart. In lab, you will use this equipment setup to experimentally verify your answer. In the following steps, use the following notation: M = total mass of cart (including contents) m = mass of weight hanger T = tension force in the string a = acceleration Applying Newton's 2nd Law to the Cart – Pulley Apparatus 1. Complete the free-body diagram for the hanging mass (small weight hanger) for the case when it is accelerating (dropping). 2. Complete the free-body diagram for the cart for the case when it is accelerating (speeding up). Assume the track is level and friction can be ignored. +x+y 3. Write Newton’s second law equations for each object separately for the horizontal and vertical directions. How is the acceleration of the cart related to the acceleration of the hanger? What do you know about the tension forces acting on the two objects? 4. Use the equations you wrote to find a relationship between the acceleration of the cart and the weight of the hanging mass. We are looking for an equation of the form a = some function of m and M.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 31P

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Problem 2 Cart and Pulley Apparatus Newton’s 2nd Law may be applied to a simple system consisting of a frictionless horizontal track on which a cart plus some masses on it (total mass M), that is connected by a massless string over a frictionless pulley to a mass, m, (hanger plus some mass attached) In lab, in Activity 1, you will use a cart and track apparatus, like in the figure at right, and a hanging mass (hanger plus mass) that pulls the cart.You are to derive an equation for the acceleration of the cart. In lab, you will use this equipment setup to experimentally verify your answer. In the following steps, use the following notation: M = total mass of cart (including contents) m = mass of weight hanger T = tension force in the string a = acceleration Applying Newton's 2nd Law to the Cart – Pulley Apparatus 1. Complete the free-body diagram for the hanging mass (small weight hanger) for the case when it is accelerating (dropping). 2. Complete the free-body diagram for the cart for the case when it is accelerating (speeding up). Assume the track is level and friction can be ignored. +x+y 3. Write Newton’s second law equations for each object separately for the horizontal and vertical directions. How is the acceleration of the cart related to the acceleration of the hanger? What do you know about the tension forces acting on the two objects? 4. Use the equations you wrote to find a relationship between the acceleration of the cart and the weight of the hanging mass. We are looking for an equation of the form a = some function of m and M.

7:46 1
Physics 1200 preLa...
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izontal track on which a cart plus some masses on it (total mass
nected by a massless string over a frictionless pulley to a mass,
s some mass attached)
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ht, and a hanging mass (hanger plus mass) that pulls the cart.
u are to derive an equation for the acceleration of the cart. In la
equipment setup to experimentally verify your answer.
he following steps, use the following notation:
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Complete the free-body diagram for the hanging mass (small w
for the case when it is acceleratina (dronnina).
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Calendar
To Do
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7:45 7
Physics 1200 preLa...
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Physics 1200
Pre-Lab for LAB#4
ete the free-body diagram for the cart for the case when it is
rating (speeding up). Assume the track is level and friction can be
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Newton's second law equations for each object separately for the
ontal and vertical directions. How is the acceleration of the cart related
acceleration of the hanger? What do you know about the tension
acting on the two objects?
6.
Dashboard
Calendar
To Do
Notifications
Inbox
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