Explanation Given data: The acceleration ( a obj ) of a block is 1.2 m s 2 . The mass of a block ( m ) is 1.5 kg . The mass of the pulley ( M ) is 2.0 kg . The diameter ( D ) of the pulley is 50 cm . Formula used: Formula to calculate the moment of inertia of the pulley is given by, I = 1 2 M R 2 (1) Here, M is the mass of the pulley, and R is the radius of the pulley. Formula to calculate the acceleration is given by, a obj = α R (2) Here, α is the angular acceleration, and R is the radius of the pulley. Formula to calculate the radius of the pulley is given by, R = D 2 (3) Here, D is the diameter of the pulley. Explanation: Find the tension ( T 1 ) in the rope on a block. Substitute 50 cm for D in equation (3), R = 50 cm 2 = 50 × 10 − 2 m 2 = 0.25 m (4) Figure 1 shows the free body diagram of a block. Refer to the Figure 1, apply Newton’s second law to the linear motion of a block is, T 1 − m g = m a T 1 = m a + m g = m ( a + g ) (5) Here, a is the acceleration of a block, m is the mass of a block, g is the gravitational acceleration, and T 1 is the tension on a block due to rope. Substitute 1.2 m s 2 for a , 1.5 kg for m and 9.8 m s 2 for g in equation (5), T 1 = 1.5 kg ( ( 1.2 m s 2 ) + ( 9.8 m s 2 ) ) = 16.5 kg ⋅ m s 2 (6) Substitute the unit N for kg ⋅ m s 2 in equation (6), T 1 = 16.5 N (7) Find the moment of inertia of the pulley

College Physics: A Strategic Approach Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition) (What's New in Astronomy & Physics)

4th Edition

ISBN: 9780134641492

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

Publisher: PEARSON

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Chapter 7, Problem 76GP

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The tension in the rope on the right side of the pulley.

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Chapter 7, Problem 75GP

Chapter 7, Problem 77GP

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Chapter 7 Solutions

College Physics: A Strategic Approach Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition) (What's New in Astronomy & Physics)

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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