Recitation 6

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Pennsylvania State University *

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211

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Physics

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Dec 6, 2023

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Physics 211 NEWTON’S THIRD LAW Readings: OpenStax Chap 5-6 Participation Inadequate (0pts) Adequate (60pts) Is able to work in a team to solve physics problems. This rubric is applied to individuals in the team. The team member is texting or on the phone during the lab. The team member did a disproportionately small part of the workload. The team member is disrespectful or not listening to others. The team member was fully engaged in the recitation, working with his/her teammates on the material. The team member was respectful and was listening to other teammates. The team member was not on the phone. Overall Quality Inadequate (15pts) Adequate (25 pts) Good (35pts) Very Good (40pts) … with minor errors (-2pts each) Graded on the quality of the work and reasoning. Large part of the recitation is wrong or incomprehensible. More than one physics mistake or substantial amount of work missing. One physics mistake. Reasoning is correct and clearly legible. Units are included and notation is good. Minor math errors, units missing or others When multiple objects interact it is very important to be careful and systematic in order to not forget any forces or not confuse their values. An interaction diagram can be useful to make sure that you identify all the forces. Here is an example of an interaction diagram for a situation that you may see in a future lab. When solving problems with multiple systems, it is a good habit to carefully label forces like ? ⃗ ? ?? ? . EXERCISE 1: NEWTON ON THE ROAD At a traffic light on College Avenue, you notice a pickup truck next to you with a large load of tailgating supplies in the bed. When the light turns green, the pickup truck accelerates away. Since the tailgating supplies are in contact with the pickup truck, they can exert forces on each other. We’re going to determine how those forces relate to one another. Section #_____033R_________ Names: Aparna Raghu Olivia Cichocki Amanda Haft http://www.gopsusports.com/spo rts/c-lionclub/spec- rel/092809aaa.html

PHYS 211 RECITATION 2 MODEL: • Drag is negligible • Assume that the load does not slip • We neglect rolling friction VISUALIZE The mass of the truck (T) is denoted 𝑀 𝑇 , the mass of the load (L) is denoted ? 𝐿 . Each force will be labeled with the notation 𝐹 ? ?? ? . For example, the force of gravity on the load is 𝐹 𝐺,? ?? 𝐿 for Earth (E) on load (L). Contact forces between the road (R) and the truck (T) and between the Truck (T) and the load (L) have both vertical components (the normal denoted by ? ⃗ ) and horizontal components (friction forces). The horizontal component of the force of the road on the truck is the drive force that makes the truck accelerate. We denote it by the symbol 𝐹 ?,𝑅 ?? 𝑇 .where the subscript D is to remind us that this is the driving force (it really comes from static friction between tire and road). 1. First, we’re goin g to analyze the truck and load as a single object. Draw a free-body diagram showing the forces acting on the system. Include coordinate axes. To the right of the free-body diagram draw a single vector in the direction of acceleration and label it with magnitude 𝑎 𝑠𝑦𝑠 (this is an “acceleration diagram”)

PHYS 211 RECITATION 3 SOLVE 2. What is the vertical acceleration of the system? Solve for the normal ? ⃗ 𝑅 ?? 𝑇 using Newton’ s second law in terms 𝐹 ?,𝑅 ?? 𝑇 , 𝑀 𝑇 , ? 𝐿 and 𝑔 . 3. Use Newton’s Second Law to determine an equation for the horizontal acceleration of the system (the magnitude of which is 𝑎 𝑠𝑦𝑠 ) in terms of 𝐹 ?,𝑅 ?? 𝑇 , 𝑀 𝑇 , ? 𝐿 and 𝑔 . ASSESS 4. How do the accelerations of the truck, 𝑎 ⃑ 𝑇 and load, 𝑎 ⃑ 𝐿 , compare to 𝑎 ⃑ 𝑠𝑦𝑠 ? Check with an instructor at this point!

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