BOGART IS AN ADVENTUROUS MAN. HE WANTS TO CROSS THE 12-FT PLANK, WHICH COEFFICIENT OF FRICTION AT THE CONTACT POINTS A AND B IS µs = 0.4. AT WHAT DISTANCE x WILL BOGART START TO REALIZE THAT NOT EVERYTHING IN LIFE IS AN ADVENTURE (HE WILL REALIZE THE PLANK WILL SLIP!). ASSUME BOGART'S WEIGHT AS 85 LB. 45° \A 15° 60 B

Question 3

A small block with mass m is set on the top of an upside-down hemispherical bowl. If the coefficient of static friction between the block and the bowl is μs and the block is slowly repositioned at different points down the surface of the bowl, at what angle measured from the vertical will the block begin to slide? Write your answer in terms of the mass, m; the gravitational acceleration on Earth, g; and the coefficient of static friction, μs. (Assume the +y axis is vertically upward.)

In the Wall of Death carnival attraction, stunt motorcyclists ride around the inside of a large, 10-m-diameter wooden cylinder that has vertical walls. The coefficient of static friction between the riders’ tires and the wall is 0.90. What is the minimum speed at which the motorcyclists can ride without slipping down the wall?

An elevator has a mass of 200kg. An average person has of 40 kg. The elevator must accelerate upward at 3 m/s^2. If the elevator cable is capable of supporting 6500 N of tension before it breaks. What is the maximum number of people you could have on board?

A man drags a 67-kg crate across the floor at a constant velocity by pulling on a strap attached to the bottom of the crate. The crate is tilted 25° above the horizontal, and the strap is inclined 61° above the horizontal. The center of gravity of the crate coincides with its geomentrical center, as indicated in the figure. Find the magnitude of the tension in the strap. 0.90 m 0.40 m 0 25⁰ 61%

Two artifacts in a museum display are hung from vertical walls by very light wires, as shown in the figure.(Figure 1) Figure ▾ Part A 53° พ m Find the tension in the horizontal wire if w = 174 N and m = 35.0 kg. ΜΕ ΑΣΦ T-389.85 ? N Submit Previous Answers Request Answer × Incorrect; Try Again ▾ Part B Find the tension in the inclined wire. ΜΕ ΑΣΦ T-647.79 Submit Previous Answers Request Answer × Incorrect; Try Again ? N 1 of 1

In the figure, a 499 kg construction bucket is suspended by a cable A that is attached at O to two other cables B and C, making angles 0₁ = 51.0° and 9₂ = 54.0° with the horizontal. Find the tensions in (a) cable A, (b) cable B, and (c) cable C. (Hint: To avoid solving two equations in two unknowns, position the axes as shown in the figure.) B C 0₂

One of the rides at an amusement park consists of small cars that are supported by steel cables 5.00 m long and rotated in a circle at gradually increasing speed.  As the speed increases, the cars rise.  Find the speed of a car when the cable makes an angle of 35.0 degrees with the vertical.

A 1500-N crate is to be held in place on a ramp that rises at 30.0° above the horizontal (see figure). The massless rope attached to the crate makes a 22.0° angle above the surface of the ramp. The coefficients of friction between the crate and the surface of the ramp are uk = 0.450 and us = 0.650. The pulley has no appreciable mass or friction. What is the MAXIMUM weight w that can be used to hold this crate stationary on the ramp? %3D W= ? Crate 22.0° Ramp 30.00