Explanation Show the free body diagram of the pulley as in Figure (1). Consider the equilibrium of forces in the pulley is in vertical direction. 2 T − m 1 g = − m 1 a 2 (I) Here, tension in the cable is T , acceleration of bar is a and gravitational acceleration is g . Show the free body diagram of the bar as in Figure (2). Express the mass moment of inertia of bar about the point O . I = 1 3 ( 2 m / 3 ) ( 2 L / 3 ) 2 + 1 3 ( m / 3 ) ( L / 3 ) = 1 9 m [ 8 L 2 9 + L 2 9 ] = 1 9 m L 2 (II) Here, mass moment of inertia of both the rods about the point O is I . Apply Newton’s second law of the motion for the bar by assuming the anticlockwise torque as negative and vice-versa. ∑ T o = I α − [ 2 3 m g ] [ 2 L 3 sin 30 ° 2 ] + ( m g / 3 ) [ L / 3 2 ] + T L 3 = I α (III) Here, torque of all the force about the point O is T o and angular acceleration of the bar is α . Write the expression for relation between linear acceleration and angular acceleration of the rod. α = a L / 3 = 3 a L (IV) Conclusion: Substitute 20 kg for m 1 and 9 .81 m / s 2 for g in Equation (I). 2 T − ( 20 kg ) ( 9

8th Edition

ISBN: 9781118885840

Author: James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher: WILEY

See similar textbooks

Videos

Question

Chapter 6.4, Problem 52P

To determine

Determine the tension in the cable.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 6.4, Problem 51P

Chapter 6.4, Problem 53P

Students have asked these similar questions

A viscoelastic column is made of a material with a creep compliance of D(t)= 0.75+0.5log10t+0.18(log10t)^2 GPA^-1 for t in s. If a constant compressive stress of σ0 = –100 MPa is applied at t = 0, how long will it take (= t1/2) for the height of the column to decrease to ½ its original value? Note: You will obtain multiple answers for this problem! One makes sense physically and one does not.

A group of 23 power transistors, dissipating 2 W each, are to be cooled by attaching them to a black-anodized square aluminum plate and mounting the plate on the wall of a room at 30°C. The emissivity of the transistor and the plate surfaces is 0.9. Assuming the heat transfer from the back side of the plate to be negligible and the temperature of the surrounding surfaces to be the same as the air temperature of the room, determine the length of the square plate if the average surface temperature of the plate is not to exceed 50°C. Start the iteration process with an initial guess of the size of the plate as 43 cm. The properties of air at 1 atm and the film temperature of (Ts + T)/2 = (50 + 30)/2 = 40°C are k = 0.02662 W/m·°C, ν = 1.702 × 10–5 m2 /s, Pr = 0.7255, and β = 0.003195 K–1. Multiple Choice 0.473 m 0.284 m 0.513 m 0.671 m

A 40-cm-diameter, 127-cm-high cylindrical hot water tank is located in the bathroom of a house maintained at 20°C. The surface temperature of the tank is measured to be 44°C and its emissivity is 0.4. Taking the surrounding surface temperature to be also 20°C, determine the rate of heat loss from all surfaces of the tank by natural convection and radiation. The properties of air at 32°C are k=0.02603 W/m-K, v=1.627 x 10-5 m²/s, Pr = 0.7276, and ẞ = 0.003279 K-1 The rate of heat loss from all surfaces of the tank by natural convection is The rate of heat loss from all surfaces of the tank by radiation is W. W.

Chapter 6 Solutions

Engineering Mechanics: Dynamics

Ch. 6.4 - Prob. 1P Ch. 6.4 - In Prob. 6/1, if the plate is given a horizontal...Ch. 6.4 - The driver of a pickup truck accelerates from rest...Ch. 6.4 - A passenger car of an overhead monorail system is...Ch. 6.4 - The uniform box of mass m slides down the rough...Ch. 6.4 - The uniform slender bar of mass m and length L is...Ch. 6.4 - Prob. 7P Ch. 6.4 - The frame is made from uniform rod which has a...Ch. 6.4 - Prob. 9P Ch. 6.4 - Determine the value of P which will cause the...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.