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12.75 Center of Gravity and Stability Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.75 Center of Gravity and Stability. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Center of Gravity and Stability: Identify how center of gravity, base of support, and torque affect tipping or stability. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.75 - Center of Gravity and Stability: NGSS HS-PS2-1/2/3; HS-ETS1 engineering connections; CCSS HSN-Q.A, HSA-CED.A, HSG-MG; AP Physics 1 Units 5-6; AP Physics C: Mechanics rotation enrichment; TX TEKS Physics §112.45(c); FL SC.912.P.12; VA PH.4; MA/CA/NY HS-PS2/ETS1.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Physics

Subject

Science

Domain

Science Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 12.75 Center of Gravity and Stability skill assessments:

Problem 1Difficulty: Mastery

Which explanation best connects center of gravity, base of support, and torque in a single tipping model?

AAn object tips whenever its total mass is large, regardless of base width or center-of-gravity location.

BAn object is stable only when the center of gravity is exactly at the geometric center of every cross section.

CAn object cannot tip if friction is present, because friction cancels all torque.

DAn object tips when the weight line through the center of gravity moves outside the base, making the weight create an overturning torque about an edge.

Solution & Explanation:The complete stability model tracks the line of action of weight through the center of gravity relative to the support base. Once that line is outside the base, weight produces an overturning torque about a support edge.

Problem 2Difficulty: Mastery

A stability sensor reports that the center-of-gravity projection is 5 cm from the left edge, 20 cm from the right edge, 15 cm from the front edge, and 10 cm from the back edge of the support polygon. Which direction is closest to tipping?

AToward the right edge

BToward the front edge

CToward the left edge

DToward the back edge

Solution & Explanation:The smallest margin is 5 cm, so the projection is closest to the left edge. A small shift leftward would make the weight line leave the base first.

Problem 3Difficulty: Mastery

A crane body of mass 1200 kg has its center of gravity 0.50 m behind the front tipping edge. A payload hangs 3.0 m in front of that edge. Ignoring the boom mass, what is the maximum payload mass for neutral tipping balance?

A50 kg

B200 kg

C600 kg

D7200 kg

Solution & Explanation:Set restoring and tipping moments equal: 1200g(0.50) = m g(3.0). Gravity cancels, so m = 1200*0.50/3.0 = 200 kg.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Physics Science students. It aligns with educational standard 12.75 (NGSS HS-PS2-1/2/3; HS-ETS1 engineering connections; CCSS HSN-Q.A, HSA-CED.A, HSG-MG; AP Physics 1 Units 5-6; AP Physics C: Mechanics rotation enrichment; TX TEKS Physics §112.45(c); FL SC.912.P.12; VA PH.4; MA/CA/NY HS-PS2/ETS1.).