At a playground, a 22-kg child sits on a spinning merry-go-round, as shown from above in FIGURE
Question:
At a playground, a 22-kg child sits on a spinning merry-go-round, as shown from above in FIGURE 6-71. The merry-go-round completes one revolution every 6.2 s, and the child sits at a radius of r = 1.4 m.
(a) What is the force of static friction acting on the child?
(b) What is the minimum coefficient of static friction between the child and the merry-go-round to keep the child from slipping?
Step by Step Answer:
The static friction force between the child and the surface of the ...View the full answer
Related Video
Static friction and kinetic friction are two types of friction that occur when two objects are in contact with each other. Static friction is the force that must be overcome to initiate motion between two surfaces that are in contact with each other but are not moving relative to each other. It is caused by the interlocking of rough surfaces at the microscopic level, and it increases as the force pushing the surfaces together increases. Once motion between the surfaces starts, the static friction is no longer present. Kinetic friction, also known as sliding friction, is the force that opposes the motion of two surfaces that are in contact with each other and are moving relative to each other. It is caused by the rubbing of the surfaces against each other and the resistance of the molecules in the surfaces to being moved. Kinetic friction is generally less than static friction, but it can still be a significant force, especially at high speeds. Both static and kinetic friction can be quantified using a coefficient of friction, which is a dimensionless number that represents the ratio of the frictional force between two surfaces to the normal force (the force perpendicular to the surfaces). The coefficient of static friction is typically greater than the coefficient of kinetic friction for a given pair of surfaces, because it takes more force to overcome the interlocking of the surfaces at rest than to maintain motion once it has started.
Students also viewed these Mechanics questions
-
A 75-kg adult sits at one end of a 9.0-m-long board. His 25-kg child sits on the other end. (a) Where should the pivot be placed so that the board is balanced, ignoring the boards mass? (b) Find the...
-
A seesaw consists of a 4-m board pivoted at the center. A 28-kg child sits on one end of the board. Where should a 40-kg child sit to balance the seesaw?
-
In a playground, a wooden horse is attached to the ground by a stiff spring. When a 24-kg child sits on the horse, the spring compresses by 28 cm. With the child sitting on the horse, the spring...
-
Which statement does NOT reflect a way that journals require authors to disclose potential or actual conflicts of interest? Group of answer choices Require researcher's Federal tax statements Require...
-
Determine the magnitude of the resultant force and its direction, measured counterclockwise from the positive xaxis. 45 = 200 N F 30 = 150 N
-
A differentiable functional f on a convex set S n is increasing if and only f(x) 0 for every x S, that is, if every partial derivative Dxi f[x] is nonnegative.
-
Diet Cola and Weight Gain in Humans A study found that American senior citizens who report drinking diet soda regularly experience a greater increase in weight and waist circumference than those who...
-
In December 2012, Pavelka Companys manager estimated next years total direct labor cost assuming 50 persons working an average of 2,000 hours each at an average wage rate of $ 15 per hour. The...
-
If a (small) weight w is suspended from a spring, the length L of the stretched spring is a linear function of w. Find b and m in the formula L = mw+b if the unstretched spring has length 8" and a...
-
The following data apply to the binary system of A and B: Melting point of pure A = 1050C Melting point of pure B = 1900C At 1250C, the a solid solution (containing 50% of B), the B solid solution...
-
As your plane circles an airport, it moves in a horizontal circle of radius 2300 m with a speed of 390 km/h. If the lift of the airplane's wings is perpendicular to the wings, at what angle should...
-
A 2.0-kg box rests on a plank that is inclined at an angle of 65° above the horizontal. The upper end of the box is attached to a spring with a force constant of 360 N/m, as shown in FIGURE 6-72....
-
In Problems 3 22, find the amplitude (if one exists), period, and phase shift of each function. Graph each function. Be sure to label key points. Show at least two periods. y = 1/cot (2x - - )
-
Food sales are $82,800 and Beverage Sales are $36,900. If food cost % is 32% and Beverage cost % is 25%, Calculate Gross Profit?
-
Are there similar financial institutions to Raven Indigenous Capital Partners in Australia? If so, are they also pursuing impact investing to provide finance to Australian Indigenous entrepreneurs?...
-
A bank will return $2345 on a 10-yr certificate of deposit that originally cost $1000. What interest rate, compounded annually, is the bank paying? (ans % to two decimal places) Your Answer: Answer...
-
1) Calculate a forward Exchange rate 2)Calculate the CDN $ proceeds Export Euros 6,000,000 Canada Interest rate 3% per annum (365 day year) France Interest Rate 2% per annum Spot Rate 1.35000...
-
As the leader of your business performing managerial functions in your company, how will you hire employees? Explain some things you might like to know about employees who are prohibited by law from...
-
Marvin Company is a subsidiary of Hughes Corp. The controller believes that the yearly allowance for doubtful accounts for Marvin should be 8% of gross accounts receivable. Given the recession and...
-
The following information is available for Partin Company: Sales $598,000 Sales Returns and Allowances 20,000 Cost of Goods Sold 398,000 Selling Expense 69,000 Administrative Expense 25,000 Interest...
-
In Figure sound of wavelength 0.850 m is emitted isotropically by point source S. Sound ray I extends directly to detector D, at distance L = 10.0 m. Sound ray 2 extends to D via a reflection...
-
A detector initially moves at constant velocity directly toward a stationary sound source and then (after passing it) directly from it. The emitted frequency is f. During the approach the detected...
-
Two sound waves with an amplitude of 12 nm and a wavelength of 35 cm travel in the same direction through a long tube, with a phase difference of /3 rad. What are the (a) Amplitude and (b) Wavelength...
-
EnviroSpecialists is an environmental engineering company that provides assessments of the effect of new construction and proposed development on the surrounding landscape. Customers include large...
-
Discuss the impact of cross-cultural allusions in global literature, particularly in terms of fostering understanding and dialogue between diverse communities
-
The correct entry should be Debit: Armstrong, Capital $48,000 Credit: Cash $58,000 Debit: Jackson, Capital $5,000 Debit: Tanner, Capital $5,000
Study smarter with the SolutionInn App