Question: An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope

An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle with a plane, then the magnitude of the force is F = u sin 0 + cos 0 0 where is a constant called the coefficient of friction. For what value of θ is F smallest?

F = u sin 0 + cos 0 0

Step by Step Solution

★★★★★

3.45 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

We need to minimize F for by t... 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

Students Have Also Explored These Related Precalculus Questions!

Jack pulls east on a rope attached to a camel with a force of 40 lb. Jill pulls north on a rope attached to the same camel with a force of 30 lb. What is the magnitude and direction of the force on...

An object on an inclined plane does not slide provided the component of the objects weight parallel to the plane |W par | is less than or equal to the magnitude of the opposing frictional force |F f...

The forces acting on an object weighing W units on an inclined plane positioned at an angle of Î with the horizontal (see figure) are modeled by µ W cos Î = W sin Î, where...

(1 point) For what values of a in [0, 2x] does the graph of y = COS I have a horizontal tangent? List the smaller value of z first. 2 | sin IAn object with weight W is dragged along a horizontal...

(1 point) An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. lfthe rope makes an angle t with the plane' then W the magnitude of the...

An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle with the plane, then the magnitude of the force is F =...

An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle with the plane, then the magnitude of the force is where...

A graphing calculator is recommended An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object If the rope makes an angle with the plane then...

The unadjusted pre-closing 12/31/20 account balances for the Maloney Company are listed below: Net Sales Net Purchases Selling Expenses Cash Machines Accumulated Depreciation, Machines Accounts...

Suppose the risk-free rate of return is 2.5 percent and the market risk premium is 6 percent. Stock U, which has a beta coefficient equal to 1.4, is currently selling for $21 per share. The company...

Content AreaHow are net Section 1231 gains treated if there were no Section 1231 losses in the previous 5 years? a. As ordinary income b. As short-term capital gains c. As tax-exempt income d. As...

4. Use the table in problem 3. Suppose that you have a budget of $8 and that cookies and pretzels (in problem 3 above) cost $1 each. What is the consumer optimum?

The pressure of 1 mole of an ideal gas is increasing at a rate of 0.05 kPa/s and the temperature is increasing at a rate of 0.15 K/s. Use the equation PV = 8.31T in Example 2 to find the rate of...

A manufacturer has modeled its yearly production function P (the value of its entire production, in millions of dollars) as a Cobb-Douglas function P(L, K) = 1.47L0.65K0.35 where L is the number of...

One side of a triangle is increasing at a rate of 3 cm/s and a second side is decreasing at a rate of 2 cm/s. If the area of the triangle remains constant, at what rate does the angle between the...

A firm has determined its cost of each source of capital and optimal capital structure which is composed of the following sources and target market value proportions: Source of Capital Target Market...

Holding Period Return Suppose that on January 1, 2019, you purchased 6.375 coupon Government of Canada bond with semi-annual payments, and a maturity date of December 31, 2026. At that time, the YTM...

2 Incorrect Question 1 0/1 pts If a bank has $200,000 of checkable deposits, it wants to maintain at least 20 percent of checkable deposits as reserves, and it holds $80,000 in reserves, then the...