Many students consider problems involving ramps (inclined planes) to be especially hard. The difficulty is probably visual because we work with (a) a tilted coordinate system and (b) the components of the gravitational force, not the full force. Here is a typical example with all the tilting and angles explained. (In WileyPLUS, the figure is available as an animation with voiceover.) In spite of the tilt, the key idea is to apply Newton’s second law to the axis along which the motion occurs. a cord pulls a box of sea biscuits up along a frictionless plane inclined at angle u= 30.0. The box has mass m = 5.00 kg, and the force from the cord has magnitude T = 25.0 N.What is the box’s acceleration a along the inclined plane?

Hi, today I had my engineering mechanics 1 test which I completely screwed up. I was quite confident in the uniform circular motion, but I had this problem in my exam which completely confused me. When I read "upward vertical acceleration" my head just start to spin as I couldn't understand what force could cause an upward acceleration. Could you help me with this problem? I bet it is easier than it looks, but still, I am confused about what is asking me and most importantly about the input it is giving me. I don't have my exam paper with me, but on my body diagram, I knew that on the aeroplane were exerted the Force of Contact Fn1 and the Force m1g in the y opposite direction. On the pilot was acting the Force of Contact with the seat of the aeroplane Fn2 and the m2g in the y opposite direction. Here is the problem: During an air show an aircraft comes out of a dive at the bottom of a circular arc at a horizontal speed of 97m/s. In the cockpit the aircraft pilot of mass 58kg…

You have a horizontal grindstone (a disk) that is 87 kg, has a 0.31 m radius, is turning at 94 rpm (in the positive direction), and you press a steel axe against the edge with a force of 23 N in the radial direction. The kinetic coefficient of friction between steel and stone is 0.20. What is the number of turns, N, that the stone will make before coming to rest?

A centrifuge is a common laboratory instrument that separates components of differing densities in solution. This is accomplished by spinning a sample around in a circle with a large angular speed. Suppose that after a centrifuge in a medical laboratory is turned off, it continues to rotate with a constant angular deceleration for 10.7s before coming to rest.How many revolutions did the centrifuge complete after being turned off?Δθ= (?) rev