A 3.0 m long ladder leans against a frictionless wall

Asked by wiki @ in Physics viewed by 50 People

A 6 m long, uniform ladder leans against a frictionless wall and makes an angle of 74.3 ◦ with the floor. The ladder has a mass 25.8 kg. A 67.08 kg man climbs 82% of the way to the top of the ladder when it slips and falls to the floor. What is the coefficient of static friction be- tween the ladder and the floor?

Explanation:

The horizontal forces acting on the ladder are the friction(f) at the floor and the normal force (Fw) at the wall. For horizontal equilibrium,

f=Fw

The sum of the moments about the base of the ladder Is 0

ΣM = 0 = Fw*L*sin74.3º - (25.8kg*(L/2) + 67.08kg*0.82L)*cos74.3º*9.8m/s²

Note that it doesn't matter WHAT the length of the ladder is -- it cancels.

Solve this for Fw.

0= 0.9637FwL - (67.91L)2.652

Fw=180.1/0.9637

Fw=186.87N

f=186.81N

Since Fw=f

We know Fw, so we know f.

But f = µ*Fn

where Fn is the normal force at the floor --

Fn = (25.8 + 67.08)kg * 9.8m/s² =

910.22N

so

µ = f / Fn

186.81/910.22

µ= 0.205

A ladder 10 feet long is leaning against a wall

Asked by wiki @ in Mathematics viewed by 43 persons

a ladder that is 10 feet long is leaning against a wall. the base of the ladder is 6 feet from the wall. assuming the wall meets the ground at …

A 5 meter long ladder is leaning against a wall

Asked by wiki @ in Physics viewed by 45 persons

A 5 meter long ladder leans against a wall. The bottom of the ladder slides away from the wall at the constant rate of 1 3 m/s. How fast is …

A 25 foot ladder is leaning against a vertical wall

Asked by wiki @ in Physics viewed by 38 persons

A 25-ft ladder rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.18 ft/sec, how fast, in ft/sec, is …

A 5 foot ladder is leaning against a vertical wall

Asked by wiki @ in Mathematics viewed by 58 persons

A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate of 10 feet per second, …

A ladder 10 feet long rests against a vertical wall

Asked by wiki @ in Physics viewed by 62 persons

A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.4 ft/s, how fast is …

A ladder 10 ft long rests against a vertical wall

Asked by wiki @ in Physics viewed by 42 persons

A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.9 ft/s, how fast is …

The top of a ladder 6m long is resting against

Asked by wiki @ in Physics viewed by 69 persons

A 6 m long, uniform ladder leans against a frictionless wall and makes an angle of 74.3 ◦ with the floor. The ladder has a mass 25.8 kg. A 67.08 …

A piece of steel is 11.5 m long at 22

Asked by wiki @ in Physics viewed by 46 persons

A piece of steel is 11.5cm long at 22C. It is heated to 1221C, close to its melting point. How long is it, in cm, at the high temperature?

A swimming pool is 20 m long and 10m wide

Asked by wiki @ in Mathematics viewed by 59 persons

A swimming pool  20 m long and 10 m wide is surrounded by a deck of uniform width. The total area of the swimming pool and the deck is 704 …

A 50 kg student climbs a 5 m long rope

Asked by wiki @ in Physics viewed by 44 persons

A 50.0 kg student climbs 5.00m up a rope at a constant speed. If the student's power output is 200.0 W, how long does it take the student to climb …

Water waves in a small tank are 06 m long

Asked by wiki @ in Physics viewed by 109 persons

Water waves in a small tank are .06 m long. They pass a given point at a rate of 14.8 waves every three seconds. What is the speed of the …

A painter leans a 20 ft ladder against a building

Asked by wiki @ in Mathematics viewed by 86 persons

A painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building. To the nearest foot, how high on the building does …

In miles how long is the great wall of china

Asked by wiki @ in Geography viewed by 68 persons

The Great Wall of China is miles long O A. 3,000 B. 5,000 O C. 2,000 O D. 4,000 ​

A wall clock has a second hand 15.0 cm long

Asked by wiki @ in Physics viewed by 57 persons

An electric wall clock has a second hand 15 cm long. What is the radial acceleration of the tip of this hand? 4.25* 10^-4 m/s^2 5.32* 10^-2 m/s^2 1.64* 10^-3 …

How to do a wall sit for a long time

Asked by wiki @ in Biology viewed by 94 persons

Why does it get more difficult to do a wall sit as the time passes?

Uranium 235 undergoes an alpha decay to produce thorium 231

Asked by wiki @ in Physics viewed by 280 persons

A 0.25 kg arrow with a velocity of 12m s

Asked by wiki @ in Physics viewed by 249 persons

Express the following measurements as indicated 6.20 mg in kilograms

Asked by wiki @ in Physics viewed by 233 persons

The initial speed of a cannonball is 0.20 km s

Asked by wiki @ in Physics viewed by 219 persons

Asked by wiki @ in Physics viewed by 214 persons

A tank of water in the shape of a cone

Asked by wiki @ in Physics viewed by 208 persons

How long do molecules of groundwater stay in the ground

Asked by wiki @ in Physics viewed by 208 persons

All of the following are advantages of outsourcing except it

Asked by wiki @ in Physics viewed by 198 persons

Which best describes the importance of mitosis to living organisms

Asked by wiki @ in Physics viewed by 187 persons

Gauging the speed of a motorcycle may be difficult because

Asked by wiki @ in Physics viewed by 183 persons

Describe how electromagnetic waves are formed and travel through space

Asked by wiki @ in Physics viewed by 173 persons

Which is an example of a negative incentive for producers

Asked by wiki @ in Physics viewed by 171 persons

What do an electron and a neutron have in common

Asked by wiki @ in Physics viewed by 168 persons

What is the source of almost all energy on earth

Asked by wiki @ in Physics viewed by 162 persons

How many significant digits are in the measurement 4032010 m s

Asked by wiki @ in Physics viewed by 161 persons