/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q57P In Fig 12-66, a  sphere is sup... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In Fig 12-66, asphere is supported on a frictionless plane inclined at angle θ=45°from the horizontal. Angle ϕis 25°. Calculate the tension in the cable.

Short Answer

Expert verified

Tension in the cable is76 N.

Step by step solution

01

Listing the given quantities

θ=45°

ϕ=25°

Mass of spherem=10 kg

02

Understanding the concept of force and tension

We draw the free body diagram for the sphere. From this, we take the summation of all forces in the direction parallel to the ramp. After solving the equation, we will get the tension in the cable.

Equation:

∑Fx=0

03

Free Body Diagram

04

Calculation of tension in the cable

∑Falongtheinclinedplane=0(Tcosϕ)−(mgsinθ)=0(Tcosϕ)=(mgsinθ)T=(mgsinθ)cosϕT=10 kg×9.8 m/s2×sin45°cos25°T=76 N

Tension in the cable is76 N

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A construction worker attempts to lift a uniform beam off the floor and raise it to a vertical position. The beam is 2.50″¾long and weighs500 N . At a certain instant the worker holds the beam momentarily at rest with one end at distanced=1.50″¾ above the floor, as shown in Fig. 12-75, by exerting a force on the beam, perpendicular to the beam. (a) What is the magnitude P? (b) What is the magnitude of the (net) force of the floor on the beam? (c) What is the minimum value the coefficient of static friction between beam and floor can have in order for the beam not to slip at this instant?

Four bricks of length L , identical and uniform, are stacked on a table in two ways, as shown in Fig. 12-83 (compare with Problem 63). We seek to maximize the overhang distance h in both arrangements. Find the optimum distancesa1 ,a2 ,b1 , andb2 , and calculate hfor the two arrangements.

In Fig. 12-39, arock climber is in a lie-back climb along a fissure, with hands pulling on one side of the fissure and feet pressed against the opposite side. The fissure has width W = 0.20 m,and the center of mass of the climber is a horizontal distance d = 0.40 mfrom the fissure. The coefficient of static friction betweenhands and rock is,μ1=0.40and between boots and rock it isμ2=1.2. (a) What is the least horizontal pull by the hands and push by the feet that will keep the climber stable? (b) For the horizontal pull of (a), what must be the vertical distance h between hands and feet? If the climber encounters wet rock, so thatμ1andμ2are reduced, what happens to (c) the answer to (a) and (d) the answer to (b)?

In the Figure, a lead brick rests horizontally on cylinders A and B. The areas of the top faces of the cylinders are related by AA=2AB; the Young’s moduli of the cylinders are related by EA=2EB. The cylinders had identical lengths before the brick was placed on them. What fraction of the brick’s mass is supported (a) by cylinder A and (b) by cylinder B? The horizontal distances between the center of mass of the brick and the centerlines of the cylinders are dA for cylinder A and dB for cylinder B. (c) What is the ratio dA/dB ?

Figure:

Question: Fig. 12-31 shows the anatomical structures in the lower leg and foot that are involved in standing on tiptoe, with the heel raised slightly off the floor so that the foot effectively contacts the floor only at point P. Assume distance a = 0 .5 cm , distanceb = 15 cm, and the person’s weight W = 900 N. Of the forces acting on the foot, what are the (a) magnitude and (b) direction (up or down) of the force at point Afrom the calf muscle and the (c) magnitude and (d) direction (up or down) of the force at point Bfrom the lower leg bones?

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.