Consider a block with mass M sitting on an incline of angle θ from horizontal.
Write a mathematical expression defining θ using two arbitrary points at heights h1 and h2 respectively, spaced l apart along the incline
Consider a block with mass M sitting on an incline of angle θ from horizontal. Write...
Consider a block of mass m sitting on an incline of angle Theta. solve for fs(static friction) in terms of m, g, and theta. make sure to clearly draw a FBD for the mass, including an relevant angles and axes.
A block with mass m1 = 8.5 kg is on an incline with an angle θ = 25° with respect to the horizontal. For the first question there is no friction between the incline and the block. 1)When there is no friction, what is the magnitude of the acceleration of the block? 2)Now with friction, the acceleration is measured to be only a = 2.74 m/s2. What is the coefficient of kinetic friction between the incline and the block? 3)...
A block with mass m1 = 8.8 kg is on an incline with an angle θ = 32° with respect to the horizontal. The spring is replaced with a massless rope that pulls horizontally to prevent the block from moving. What is the minimum tension in the rope? Now a new block is attached to the string above the first block on the ramp. The new block is made of a different material and has a coefficient of static friction...
A block with mass m1 = 9.4 kg is on an incline with an angle θ = 26° with respect to the horizontal. For the first question there is no friction, but for the rest of this problem the coefficients of friction are: μk = 0.24 and μs = 0.264. 1) When there is no friction, what is the magnitude of the acceleration of the block? 2) Now with friction, what is the magnitude of the acceleration of the block after it...
A block with mass m1 = 8.9 kg is on an incline with an angle θ = 27° with respect to the horizontal. For the first question there is no friction between the incline and the block. 1) When there is no friction, what is the magnitude of the acceleration of the block? 2) Now with friction, the acceleration is measured to be only a= 3.38 m/s2. What is the coefficient of kinetic friction between the incline and the block? 3) To keep the...
Figure 1: Block on incline. 2, A block of mass m = 5 kg is subject to a force of magnitude 20 N that makes an angle of p20 with the (frictionless) inclined plane of contact. The plane itself is inclined θ = 300 with the horizontal. (a) What is the acceleration of the block along the incline? (b) If the block begins at rest, in what direction will it move subsequently (i.e., up or down the incline)? (c) If...
A mass m = 15 kg is pulled along a horizontal floor with NO friction for a distance d =7.1 m. Then the mass is pulled up an incline that makes an angle θ = 30° with the horizontal and has a coefficient of kinetic friction μk = 0.38. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 30° (thus on the incline it is parallel...
A mass m = 16 kg is pulled along a horizontal floor with NO friction for a distance d =7.5 m. Then the mass is pulled up an incline that makes an angle θ = 33° with the horizontal and has a coefficient of kinetic friction μk = 0.41. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 33° (thus on the incline it is parallel...
A block of mass M is sitting on a friction-less horizontal surface. A second block of mass m is sitting on top of the first block. The (horizontal) interface between the two blocks is characterized by a static friction coefficient µ. The acceleration of gravity is g. Find the max horizontal force F that can be applied to the lower block such that the upper block does not slide off it.
2. Starting from rest, a block of mass m slides down a frictionless incline at angle θ(0◦ < θ < 90◦) where it runs into a spring of spring constant k. When the block momentarily stops, it has compressed the spring by distance x. Find expressions for (a) the distance the block slides down the incline from when it is released to when it momentarily stops (b) the distance between the point of the first block-spring contact and the point...