PART A: For the cord tension to beas small as possible, you should pull at what angle above thehorizontal?

PART B: With this angle, how largemust the tension be?

FizeauV
2021-04-20
Answered

A 1.3 kg toaster is not plugged in. The coefficient ofstatic friction between the toaster and a horizontal countertop is 0.35. To make the toaster start moving, you carelesslypull on its electric cord.

PART A: For the cord tension to beas small as possible, you should pull at what angle above thehorizontal?

PART B: With this angle, how largemust the tension be?

PART A: For the cord tension to beas small as possible, you should pull at what angle above thehorizontal?

PART B: With this angle, how largemust the tension be?

You can still ask an expert for help

Viktor Wiley

Answered 2021-04-22
Author has **84** answers

F $\mathrm{cos}$ x = u.m.g then

$F=um\frac{g}{\mathrm{cos}x}=\left(0.35\right)\left(1.3\right)\frac{9.8}{\mathrm{cos}x}$

$F=\frac{4.46}{\mathrm{cos}x}$

a. taking differential of this we have :

$F}^{\prime}=0\left(\mathrm{cos}x\right)-\left(4.46\right)\frac{-\mathrm{sin}x}{{\mathrm{cos}}^{2}x}=4.46\frac{\mathrm{sin}x}{{\mathrm{cos}}^{2}x$

taken its stationary we'll have

$F}^{\prime}=4.46\frac{\mathrm{sin}x}{{\mathrm{cos}}^{2}x}=0\to \mathrm{sin}x=0\to x={0}^{o$

b.$F=\frac{4.46}{\mathrm{cos}0}=\frac{4.46}{1}=4.46N$

a. taking differential of this we have :

taken its stationary we'll have

b.

asked 2021-02-19

An airplane propeller is 2.08 m in length (from tip to tip) and has a mass of 117 kg. When the airpline's engine is first started, it applies a constant torque of $1950\text{}N\cdot m$ to the propeller, which starts from rest.

a) What is the angular acceleration of the propeller? Model the propeller as a slender rod.

b) What is the propeller's angular speed after making 5.00 revolutions?

c) How much work is done by the engine during the first 5.00 revolutions?

e) What is the instantaneous power output of the motor at the instant that the propeller has turne through 5.00 revolutions?

a) What is the angular acceleration of the propeller? Model the propeller as a slender rod.

b) What is the propeller's angular speed after making 5.00 revolutions?

c) How much work is done by the engine during the first 5.00 revolutions?

e) What is the instantaneous power output of the motor at the instant that the propeller has turne through 5.00 revolutions?

asked 2021-02-04

A 17.8 kg flood light in a park is supported at the end of a horizontal beam of negligible mass that is hinged to a pole. A cable connected to the beam helps to support the light. (In thefigure,

(A) 320 N

(B) 250 N

(C) 0

asked 2020-12-02

An exceptional standing jump would raise a person 0.80 m off the ground. To do this, what force must a 66-kg person exert against the ground? Assume the person crouches a distance of 0.20 m prior to jumping, and thus the upward force has this distance to act over before he leaves the ground.

asked 2021-01-13

A radar station, located at the origin of xz plane, as shown in the figure , detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is

Define the displacement of the airplane while the radar was tracking it:

Express

asked 2021-12-09

In the following, simplify using absolute values as necessary.

asked 2021-01-08

A mass sitting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall.3.0 J of work is required to compress the spring by 0.12 m. If the mass is released s from rest with the spring compressed, it experiences a maximum acceleration of 15 $\frac{m}{{s}^{2}}$ . Find the value of (a) the spring constant and(b) the mass.

asked 2021-01-08

A bank teller has a total of 70 bills in five-, ten-, andtwenty-dollar denominations. the number of fives is threetimes the number of tens, while the total value of the money is$960. Find the number of each type of bill. Solve usngthe Echelon method.
Can someone help me setting up this problem