Explanation Given data: The mass of the block 1 ( m 1 ) is 1.5 kg . The mass of the block 2 ( m 2 ) is 2.5 kg . The diameter of the frictionless pulley ( d ) is 30 cm . The mass of the frictionless pulley ( M ) is 0.75 kg . Formula used: Formula to calculate the block 1 tension which occurs due to the mass 1, ∑ F = T 1 − m 1 g m 1 a = T 1 − m 1 g T 1 = m 1 a + m 1 g T 1 = m 1 ( a + g ) (1) Here, T 1 is the tension of the block 1, a is an acceleration, g is an acceleration due to the gravity. Formula to calculate the block 2 tension which occurs due to the mass 2, ∑ F = m 2 g − T 2 m 2 a = m 2 g − T 2 T 2 = m 2 g − m 2 a T 2 = m 2 ( g − a ) (2) Here, T 2 is the tension of the block 2. Formula to calculate the torque generated due to inertia is, τ = α I (3) Here, α is an angular acceleration, I is the moment of inertia. Formula to calculate the angular acceleration is, α = a r (4) Substitute the equation (4) in equation (3) to find τ . τ = ( a r ) I (5) Formula to calculate the generalized torque due to the force is, τ = r ( T 2 − T 1 ) (6) Substitute the equation (1), equation (2), and equation (5) in equation (6) to find a . ( a r ) I = r ( m 2 ( g − a ) − m 1 ( a + g ) ) a ( I r 2 ) = ( m 2 g − m 2 a − m 1 a − m 1 g ) a ( I r 2 ) = g ( m 2 − m 1 ) − a ( m 1 + m

College Physics: A Strategic Approach (4th Edition)

4th Edition

ISBN: 9780134609034

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Question

Chapter 7, Problem 56P

To determine

The acceleration of the lighter block.

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Chapter 7, Problem 55P

Chapter 7, Problem 57P

Chapter 7 Solutions

College Physics: A Strategic Approach (4th Edition)

Ch. 7 - The batter in a baseball game hits a home run. As...Ch. 7 - Viewed from somewhere in space above the north...Ch. 7 - Figure Q7.3 shows four pulleys, each with a heavy...Ch. 7 - If you are using a wrench to loosen a very...Ch. 7 - Prob. 5CQ Ch. 7 - Prob. 6CQ Ch. 7 - Prob. 7CQ Ch. 7 - A screwdriver with a very thick handle requires...Ch. 7 - If you have ever driven a truck, you likely found...Ch. 7 - A student gives a steady push to a ball at the end...

Ch. 7 - Prob. 11CQ Ch. 7 - If you grasp a hammer by its lightweight handle...Ch. 7 - Prob. 13CQ Ch. 7 - Prob. 15CQ Ch. 7 - The moment of inertia of a uniform rod about an...Ch. 7 - Prob. 17CQ Ch. 7 - With care, its possible to walk on top of a barrel...Ch. 7 - A nut needs to be tightened with a wrench. Which...Ch. 7 - Prob. 20MCQ Ch. 7 - Prob. 21MCQ Ch. 7 - Prob. 22MCQ Ch. 7 - Prob. 23MCQ Ch. 7 - A typical compact disk has a mass of 15 g and a...Ch. 7 - Two horizontal rods are each held up by vertical...Ch. 7 - Prob. 26MCQ Ch. 7 - Questions 25 through 27 concern a classic...Ch. 7 - Questions 25 through 27 concern a classic...Ch. 7 - Questions 25 through 27 concern a classic...Ch. 7 - What is the angular position in radians of the...Ch. 7 - A child on a merry-go-round takes 3.0 s to go...Ch. 7 - What is the angular speed of the tip of the minute...Ch. 7 - An old-fashioned vinyl record rotates on a...Ch. 7 - The earths radius is about 4000 miles. Kampala,...Ch. 7 - Prob. 6P Ch. 7 - A turntable rotates counterclockwise at 78 rpm. A...Ch. 7 - Prob. 8P Ch. 7 - Prob. 9P Ch. 7 - Prob. 10P Ch. 7 - The 1.00-cm-long second hand on a watch rotates...Ch. 7 - The earths radius is 6.37 106 m; it rotates once...Ch. 7 - To throw a discus, the thrower holds it with a...Ch. 7 - Prob. 14P Ch. 7 - A computer hard disk starts from rest, then speeds...Ch. 7 - Prob. 16P Ch. 7 - The crankshaft in a race car goes from rest to...Ch. 7 - Reconsider the situation in Example 7.10. If Luis...Ch. 7 - Prob. 19P Ch. 7 - Prob. 20P Ch. 7 - What is the net torque about the axle on the...Ch. 7 - The tune-up specifications of a car call for the...Ch. 7 - In Figure P7.22, force F2, acts half as far from...Ch. 7 - A professors office door is 0.91 m wide, 2.0 m...Ch. 7 - What is the net torque on the bar shown in Figure...Ch. 7 - Prob. 26P Ch. 7 - Prob. 27P Ch. 7 - Prob. 28P Ch. 7 - What is the net torque on the bar shown in Figure...Ch. 7 - Prob. 30P Ch. 7 - The 2.0 kg, uniform, horizontal rod in Figure...Ch. 7 - A 4.00-m-long, 500 kg steel beam extends...Ch. 7 - An athlete at the gym holds a 3.0 kg steel ball in...Ch. 7 - The 2.0-m-long, 15 kg beam in Figure P7.34 is...Ch. 7 - Prob. 35P Ch. 7 - Hold your arm outstretched so that it is...Ch. 7 - Prob. 37P Ch. 7 - Prob. 38P Ch. 7 - A regulation table tennis ball is a thin spherical...Ch. 7 - Prob. 40P Ch. 7 - A solid cylinder with a radius of 4.0 cm has the...Ch. 7 - Prob. 42P Ch. 7 - A bicycle rim has a diameter of 0.65 m and a...Ch. 7 - Prob. 44P Ch. 7 - A small grinding wheel has a moment of inertia of...Ch. 7 - Prob. 46P Ch. 7 - An objects moment of inertia is 2.0 kg m2. Its...Ch. 7 - Prob. 48P Ch. 7 - A 200 g, 20-cm-diameter plastic disk is spun on an...Ch. 7 - Prob. 50P Ch. 7 - A frictionless pulley, which can be modeled as a...Ch. 7 - Prob. 52P Ch. 7 - If you lift the front wheel of a poorly maintained...Ch. 7 - Prob. 54P Ch. 7 - A toy top with a spool of diameter 5.0 cm has a...Ch. 7 - Prob. 56P Ch. 7 - A bicycle with 0.80-m-diameter tires is coasting...Ch. 7 - Prob. 58P Ch. 7 - Prob. 59P Ch. 7 - Prob. 60P Ch. 7 - Prob. 61GP Ch. 7 - The grap in Figure P7.56 shows the angular...Ch. 7 - A car with 58-cm-diameter tires accelerates...Ch. 7 - The cable lifting an elevator is wrapped around a...Ch. 7 - The 20-cm-diameter disk in Figure P7.59 can rotate...Ch. 7 - A combination lock has a 1.0-cm-diameter knob that...Ch. 7 - A 70 kg mans arm, including the hand, can be...Ch. 7 - Prob. 68GP Ch. 7 - A reasonable estimate of the moment of inertia of...Ch. 7 - Prob. 70GP Ch. 7 - The ropes in Figure P7.65 are each wrapped around...Ch. 7 - Flywheels are large, massive wheels used to store...Ch. 7 - A 1.0 kg ball and a 2.0 kg ball are connected by a...Ch. 7 - Prob. 76GP Ch. 7 - A tradesman sharpens a knife by pushing it with a...Ch. 7 - MCAT-Style Passage Problems The Bunchberry The...Ch. 7 - The Bunchberry The bunchberry flower has the...Ch. 7 - The Bunchberry The bunchberry flower has the...Ch. 7 - Prob. 81MSPP Ch. 7 - Prob. 82MSPP Ch. 7 - Prob. 83MSPP Ch. 7 - Prob. 84MSPP

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