Question: The disk has mass M and is supported on the smooth cylindrical surface by a spring having stiffness k and unstretched length l0. The spring

The disk has mass M and is supported on the smooth cylindrical surface by a spring having stiffness k and unstretched length l0. The spring remains in the horizontal position since its end A is attached to the small roller guide which has negligible weight. Determine the angle θ to the nearest degree for equilibrium of the roller.

Given:

M = 20 kg

k = 400N/m

l0 = 1 m

r = 2 m

g = 9.81m/s2

a = 0.2 m

Guesses F = 10 N R = 10 N θ = 30 deg

Step by Step Solution

★★★★★

3.47 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

EF 0 F 0 Spring R sin0 M g 0 Rcos 0 F 0 F kr a cos0 lo F 8 R There is als... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

32-E-C-S (447).docx

120 KBs Word File

Students Have Also Explored These Related Civil Engineering Questions!

A thin, flat, uniform disk has mass M and radius R_ A circular hole of radius R/4, centered at a point R/2 from the disk's center, is then punched in the disk. (a) Find the moment of inertia of the...

The bar in Problem 46 has mass m and is initially at rest. A constant force F(vector) ?to the right is applied to the bar. Formulate Newton?s second law for the bar, and find its velocity as a...

Spring CD remains in the horizontal position at all times due to the roller at D. If the spring is unstretched when ? = 0 o? and the stiffness is k = 1.5kN/m, determine the smallest angle ? for...

1349. Block A has a mass mA and is attached to a spring having a stiffness k and unstretched length l0. If another block B, having a mass mB, is pressed against A so that the spring deforms a...

Block A has mass m A and is attached to a spring having a stiffness k and unstretched length l 0 . If another block B, having mass m B is pressed against A so that the spring deforms a distance d,...

One end of a spring of negligible unstretched length and spring constant k is fixed at the origin (0,0). A point particle of mass m carrying a positive charge q is attached at its other end. The...

For simplicity you may assume that = 10.0 m/s\" where appropriate. Short Answer (20 marks part marks for crystal clear work.) 1. (4 marks) A particle confined to move in a circular path is initially...

Procedure I Data Table 1: Mass and Weight Object Mass in g Mass in kg Weight in N Wooden Friction block 31.1 0.031 0.30 Glass /sandpaper friction block 55.6 0.056 0.55 50 g hanging mass 50 0.05 0.49...

1. Inertial velocity and inertial acceleration (8 pts) The disk shown in Fig. 1 spins about its own central axis at 1200 rpm while the entire system rotates about the vertical axis (which is fixed in...

Question WHP9-Q1. The system in figure is composed of: a slider of mass m = 5 kg which can only move horizontally and can be modelled as a particle a uniform beam of length L = 2 m, mass m = 3 kg and...

X,Y and Z are three partners sharing profit and loss in the ratio of 3:2:1. The firm took joint life policy of Rs.30,000 for X,Rs.20,000 for Y and Rs.10,000 for Z. What is the share of Z in the Joint...

Bethesda Mining Company reports the following balance sheet information for 2018 and 2019. Prepare the 2018 and 2019 common-size balance sheets for Bethesda Mining. (Do not round intermediate...

A rooster costs $5 and a hen costs $3. Chicks are sold at 3 for $1. A farmer bought 100 birds of these three types for $100. How many of each type of bird did he buy?

General Motors Company (G M) disclosed estimated product warranty payable for comparative years as follows: Assume that GM's sales were $155,929 million in the current year and that the total paid on...

Using the legend provided, classify each of the following citations as to the location. A citation may have more than one answer. a. 61(a)(13). b. Prop.Reg. 1.3682(b)(1). c. Rev.Proc. 7737, 19772...

Using the legend provided, classify each of the following citations as to the type of court. Legend D = District Court T = Tax Court C = Court of Federal Claims A = Circuit Court of Appeals U =...

Fosters Manufacturing Co. warrants its products for one year. The estimated product warranty is 3% of sales. Assume that sales were $1,100,000 for January. On February 7, a customer received warranty...

On January 1, 2016, Hebron Company issued a $175,000, five-year, 8% installment note to Ventsam Bank. The note requires annual payments of $43,380, beginning on December 31, 2016. Journalize the...

Developer plc wishes to take over Hotels Ltd in order to develop the sites on which various hotels belonging to Hotels Ltd stand as supermarkets. Developers bid is likely to be accepted by a majority...

Determine the stress components acting on the inclined plane AB. Solve the problem using the method of equilibrium described in Sec. 9.1. 14 ksi 20 ksi 50 B.

Determine (a) the principal stresses and (b) the maximum in-plane shear stress and average normal stress at the point. Specify the orientation of the element in each case. 60 MPa 30 MPa 45 MPa

Determine the principal stresses in the box beam at points A and B. 1200 lb 800 lb 6 in. 6 in.T B 8 in. B sat25at -3 ft+2.5 ft+2.5 ft '8 in. -5 ft-

Roth Corp. wants to raise $4.5 million via a rights offering. The company currently has 550,000 shares of common stock outstanding that sell for $80 per share. Its underwriter has set a subscription...

Accounting statements represent a company's earnings, but this is not the real cash that a company generates. Earnings data can be manipulated and can be deceiving. Thus, corporate decision makers...

(d) (1 pt) Use R to run N = 10, 000 Monte Carlo Simulations of obtain the MLE of a size 100 random sample. Namely, you will obtain 10, 000 realizations of the MLE. These realizations provide you an...