(a) Explanation Given information: The constant acceleration ( a B ) of block B is 6 in ./s 2 . The constant velocity ( v B ) of block B is 3 in./s. Calculation: Show the free body diagram of the block as in Figure (1). Write the equation for total lengths of cables. L 1 = 2 y C + 2 y D +constant (1) L 2 = y A + y B + ( y B − y D ) +constant Multiply the Equation by 2. 2 L 2 = 2 y A + 2 y B + 2 ( y B − y D ) +constant (2) Add Equation (1) and (2). L 1 + 2 L 2 = 2 y C + 2 y D + 2 y A + 2 y B +2 ( y B − y D ) + constant 2 ( y C + y A + 2 y B ) = constant Differentiate the Equation to obtain the relationships for velocities and accelerations. v C + v A + 2 v B = 0 (3) a C + a A + 2 a B = 0 (4) Write the equation for motion of block A . Δ y A = 1 2 a A t 2 Substitute 6 in ./s 2 for a A . Δ y A = 1 2 × 6 × t 2 = 3 t 2 Write the equation for motion of block B (b) To determine The position ( Δ y C ) of the block C .

11th Edition

ISBN: 9781259633133

Author: BEER

Publisher: MCG

See similar textbooks

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be create…

Videos

Question

Chapter 11.2, Problem 11.56P

(a)

To determine

The time when the velocity of block C is zero.

(b)

To determine

The position (ΔyC) of the block C.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.2, Problem 11.55P

Chapter 11.2, Problem 11.57P

Students have asked these similar questions

The pickup truck weighs 3220 Ib and reaches a speed of 30 mi/hr from rest in a distance of 200 ft up the 10-percent incline with constant acceleration. Calculate the normal force under each pair of wheels and the friction force under the rear driving wheels. The effective coefficient of friction between the tires and the road is known to be at least 0.8.

1. The figure shows a car jack to support 400kg (W=400kg). In the drawing, the angle (0) varies between 15 and 70 °. The links are machined from AISI 1020 hot-rolled steel bars with a minimum yield strength of 380MPa. Each link consists of two bars, one on each side of the central bearings. The bars are 300mm in length (/) and 25 mm in width (w). The pinned ends have the buckling constant (C) of 1.4 for out of plane buckling. The design factor (nd) is 2.5. (1) Find the thickness (t) of the bars and the factor of safety (n). (2) Check if the bar is an Euler beam. D

(Read image)

Chapter 11 Solutions

VECTOR MECH...,STAT.+DYNA.(LL)-W/ACCESS

Ch. 11.1 - A bus travels the 100 miles between A and B at 50...Ch. 11.1 - Two cars A and B race each other down a straight...Ch. 11.1 - A snowboarder starts from rest at the top of a...Ch. 11.1 - Prob. 11.2P Ch. 11.1 - Prob. 11.3P Ch. 11.1 - A loaded railroad car is rolling at a constant...Ch. 11.1 - Prob. 11.5P Ch. 11.1 - Prob. 11.6P Ch. 11.1 - A girl operates a radio-controlled model car in a...Ch. 11.1 - The motion of a particle is defined by 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.