A block of mass m rests on a horizontal surface (figure) The block is pulled by a massless rope with a force at an angle The coefficient of static friction is 0 6 The minimum value of the force needed to move the block depends on the angle (a) Discuss qualitatively how you would expect this force to depend on (b) Compute the force for the angles 0, 10, 20, 30, 40, 50, and 60, and make a plot of F versus for mg 400 N From your plot, at what angle is it most efficient to apply the force to move the block

Question: A block of mass m rests on a horizontal surface (figure). The block is pulled by a massless rope with a force at an angle

A block of mass m rests on a horizontal surface (figure). The block is pulled by a massless rope with a force at an angle θ. The coefficient of static friction is 0.6. The minimum value of the force needed to move the block depends on the angle θ.

(a) Discuss qualitatively how you would expect this force to depend on θ.

(b) Compute the force for the angles θ = 0°, 10°, 20°, 30°, 40°, 50°, and 60°, and make a plot of F versus θ for mg = 400 N. From your plot, at what angle is it most efficient to apply the force to move the block?

A block of mass m rests on a horizontal surface (figure).

Step by Step Solution

★★★★★

3.43 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a F will decrease with increasing for small values of since the normal component diminishe... 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)

10-P-M-L-M (612).docx

120 KBs Word File

Students Have Also Explored These Related Mechanics Questions!

A company is trying to determine how to allocate its $145,000 advertising budget for a new product. The company is considering newspaper ads and television commercials as its primary means for...

A body of mass m rests on a horizontal plane with the friction coefficient k. At the moment t = 0 a horizontal force is applied to it, which varies with time as F = at, where a is a constant vector....

A box of mass m rests on a horizontal table. The coefficient of static friction is s . A force F is applied at an angle as shown in Problem 5-32. (a) Find the force F needed to move the box as a...

A wood block of mass m rests on a larger wood block of mass M that rests on a wooden table. The coefficients of static and kinetic friction between all surfaces are s and k, respectively. What is the...

13. A block of mass m rests on an air table (no friction), and is pulled with a force probe, producing the Force vs. Acceleration graph shown below. Force vs. Acc Force (N) 2.0 acceleration (m/s2)...

13. A block of mass m rests on an air table (no friction), and is pulled with a force probe, producing the Force vs. Acceleration graph shown below. Force vs. Acc 10- Force (N) 6- 0.0 20 acceleration...

A push of magnitude 29N acts on a box of weight 52N as shown in the figure. The push is directed at an angle 12 below the horizontal. The box rests on a horizontal surface that r some friction with...

1 . 6 A body of mass 5 0 kg rests on a slope at an angle of 2 5 to the horizontal. Determine the minimum force P applied to the body so that the body will just move up the slope. The co - efficient...

. er parame (Bis rBlaiiiilig SalnB, W a is 0 inXill'lUln llil la SD98 the ball such that it still lands msnde the court? 28):: man waits at the bus stop on a rainy day. He must hold his umbrella at...

What are the steps on solving this? 17.2 The figure shows a block of mass m=15kg which rests on a surface with coefficient of static friction us A force pulls on the block at an angle 0 - 20% above...

A block with mass M rests on a frictionless surface and is connected to a horizontal spring of force constant k. The other end of the spring is attached to a wall (Figure 1). A second block with mass...

Show that for a plane curve N points to the concave side of the curve. One method is to show that Then consider the cases dÏ/ds > 0 (curve bends to the left) and dÏ/ds doids doids

Soft modes and lattice transformations sketch a monatomic linear lattice of lattice constant a. (a) Add to each of six atoms a vector to indicate the direction of the displacement at a given time...

Find y ' and y ' ' . y = ( 5 + x 2 ) 3 y ' = 1 3 x - ( 2 3 ) y ' ' =

Ms. Gold has been investing in real estate for almost half a century. On January 1, 2018, she owned four rental properties and the relevant facts on these properties are as follows: 112 Bay Street...

Information from Halloran Company's Income Statement and Balance Sheets for the years 2013-2017 is presented. HALLORAN COMPANY Comparative Income Statements For Years Ended December 31, 2017-2013 ($...

Nigel and Sophie both like to play a single-player casual computer game. (They dont play together. They just happen to both like the same game.) Its the kind of game in which there are multiple...

1. Which aspect of the French revolution most disturbed commentators? 2. How would you align each of these writers on a spectrum running from extreme right to extreme left in politics? 3. How would...

Suppose you are starting your own company selling chocolate covered strawberries. You decide to sell the milk chocolate covered strawberries for a profit of $2.25/box and the white chocolate covered...

Economics is best described as (A) the study of how scarce material wants are allocated between unlimited resources. (B) the study of how scarce labor can be replaced by unlimited capital. (C) the...

Initially the system of objects shown in Figure P5.61 is held motionless. All surfaces, pulley, and wheels are frictionless. Let the force F is zero and assume that m2 can move only vertically. At...

As an astronaut, you observe a small planet to be spherical. After landing on the planet, you set off, walking always straight ahead, and find yourself returning to your spacecraft from the opposite...

One block of mass 5.00 kg sits on top of a second rectangular block of mass 15.0 kg, which in turn is on a horizontal table. The coefficients of friction between the two blocks are s = 0.300 and k =...

Dansko Integrated Balance Sheet As of January 24, 2023 (amounts in thousands) Cash 9,900 Accounts Payable 2,700 Accounts Receivable 4,500 Debt 3,500 Inventory 3,800 Other Liabilities 1,000 Property...

DeLuxe Furniture is thinking of buying a wood cutting machine for $190,000 that would save it $40,000 per year in production costs. The savings would be constant over the project's 3 -year life. The...

An HMO has just proposed to promote your facility as the region's "Center of Excellence for obstetrical deliveries. The HMO covers 700,000 lives in the community served by your facility. The HMO has...