A block of mass M = 101.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction for the block and the incline are u = 0.40 and uy 0.20 and the plane is inclined 17.5° with horizontal. (a) Determine the range of values for m, the mass of the hanging block, for which the block will not move unless disturbed, but if nudqged, will slide down the incline. kg s ms kg (b) Determine a range of values for m for which the block will not move unless nudged, but if nudged will slide up the incline. kg s m s kg

A block of mass M = 101.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction for the block and the incline are u = 0.40 and uy 0.20 and the plane is inclined 17.5° with horizontal. (a) Determine the range of values for m, the mass of the hanging block, for which the block will not move unless disturbed, but if nudqged, will slide down the incline. kg s ms kg (b) Determine a range of values for m for which the block will not move unless nudged, but if nudged will slide up the incline. kg s m s kg

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 40P: A service elevator takes a load of garbage, mass 10.0 kg, from a floor of a skyscraper under...

See similar textbooks

Similar questions

The x and y coordinates of a 4.00-kg particle moving in the xy plane under the influence of a net force F are given by x = t4 6t and y = 4t2 + 1, with x and y in meters and t in seconds. What is the magnitude of the force F at t = 4.00 s?
A block of mass M = 109.0 kg on an inclined plane is attached to another block of mass m via a string, as in the figure below. The coefficients of static and kinetic friction for the block and the incline are ls = 0.40 and uk = 0.20 and the plane is inclined 16.9° with horizontal. (a) Determine the range of values for m, the mass of the hanging block, for which the block will not move unless disturbed, but if nudged, will slide down the incline. kg s m s kg (b) Determine a range of values for m for which the block will not move unless nudged, but if nudged will slide up the incline. kg s m s kg eBook
A block of mass 2.00 kg is pushed up against a wall by a force P that makes an angle of e = 50.0° angle with the horizontal as shown below. The coefficient of static friction between the block and the wall is 0.280. (a) Determine the possible values for the magnitude of P that allow the block to remain stationary. (If there is no maximum, enter NONE in that answer blank.) |Pmin! IP max N (b) What happens if |P| has a larger value than |Pmayl? O The block slides up the wall. O The block does not slide along the wall. O The block slides down the wall. What happens if |P| has a smaller value than |P O The block slides up the wall. P min1? O The block does not slide along the wall. O The block slides down the wall. (c) Repeat parts (a) and (b) assuming the force makes an angle of e = 12.0° with the horizontal. Determine the possible values for the magnitude of P that allow the block to remain stationary. (If there is no maximum, enter NONE in that answer blank.) |Pmin! |Pmax N What happens…
A 0.85 kg block of wood is stationary on an incline that is15◦above horizontal. A force of 3.0 N is being applied toit 75◦below horizontal, directly into the incline (the force isperpendicular to the incline). What is the minimum coefficientof static friction required to keep the block stationary?
An 11 kg block of steel is at rest on a horizontal table. The coefficient of static friction between block and table is 0.52. (a) What is the magnitude of the horizontal force that will put the block on the verge of moving? (b) What is the magnitude of a force acting upward 60 from the horizontal that will put the block on the verge of moving? (c) If the force acts downward at 60 from the horizontal, how large can its magnitude be without causing the block to move?
There is a mass of 10 kg which is placed on an inclined plane making an angle of 30° with the horizontal. A force of 15 N is applied on the object along the incline in downward direction. Determine the value of net force acting on the block, (if coefficient of static friction is 4 = 0.8 and coefficient of kinetic friction is 14 =0.5), a b C d 3.9 N, upward along the incline 21.6 N, downward along the incline ΟΝ 98 N
A 200-lb block is at rest at 30 degree incline. The coefficient of friction between the block andthe incline is 0.20. Compute the value of the horizontal force P that will cause motion toimpend up the incline.
A toy chest and its contents have a combined weight of180 N.The coefficient of static friction between toy chest and flooris 0.42.The child attempts to move the chest across thefloor by pulling on an attached rope. (a) If u is 42, what is the magnitudeof the force that the child must exert on the rope to putthe chest on the verge of moving? (b) Write an expression for themagnitude F required to put the chest on the verge of moving as afunction of the angle u. Determine (c) the value of u for which F isa minimum and (d) that minimum magnitude.
(a) At a construction site, a pallet of bricks is to be suspended by attach- ing a rope to it and connecting the other end to a couple of heavy crates on the roof of a building, as shown below. The rope pulls horizontally on the lower crate, and the coefficient of static friction between the lower crate and the roof is 0.666. (a) What is the weight of the heaviest pallet of bricks that can be supported this way? Start with appropriate free-body diagrams. (b) What is the friction force on the upper crate under the conditions of part (a)? 150 lb 250 lb Bricks
The coefficients of static and kinetic friction between the 100-kg block and the inclined plane are 0.30 and 0.20, respectively. Determine (a) the friction force Facting on the block when P is applied with a magnitude of 200 N to the block at rest, (b) the force P required to initiate motion up the incline from rest, and (c) the friction force F acting on the block if P = 600 N. %3D P 100 kg 20° Hs = 0.30 Hk = 0.20 15° 5.
There are two forces on the 2.00 kg box in the overhead view of but only one is shown. For F1 = 20.0N,a =12.0 m/s^2and θ= 30.0 degree find the second force (a) in unit-vector notation and as (b) a magnitude and (c) an angle relative to the positive direction of the x axis.
A man exerts a horizontal force of 125 N on a crate with amass of 30.0 kg. (a) If the crate doesn’t move, what’s the magnitudeof the static friction force? (b) What is the minimumpossible value of the coefficient of static friction between thecrate and the floor?