A block of mass 20kg is pushed against a vertical wall by force P. The coefficient of friction between the surface and the block is 0.2. If theta = 30 degrees, what is the minimum magnitude of P to hold the block still?I understand that in order for the block to sit motionless, the net forces acting on the block must be zero. I set my equation to be Net Force = 0 = Psin(theta) + Force Friction - Force Gravity.Which I rearranged as P = (Force Gravity - Force Friction)/sin(theta) or P = (mg-μ(mg))/sin(theta)Doing this gives me a value of 313.6N rather than 202.9N which I should be getting. What am I doing wrong?

A large box of mass 11.4 kg sits on a ramp that makes an angle of 30.1 degrees with the horizontal. The surface of the ramp is rough and the coefficients of static and kinetic friction are given as 0.56 and 0,38, respectively. We exert a force up the ramp (parallel to the ramp surface) so that the box does not move. Calculate the maximum and the minimum magnitude of the force we can exert so that the box does not move. Enter the difference between the maximum and the minimum force values here: Fmax-Fmin (in Newtons). On your paper, show all the forces on free-body diagrams, clearly show your work, your derivation and calculations. Make sure to include your physics-based reasoning.

A patient with a broken tibia has the lower half of his leg suspended horizontally by a cable attached to the center of his foot. The tension in the cable needs to exert a force of F, = 25 N horizontally for traction and F, = 30 N vertically upward to support the leg. Find the magnitude of the tension in the cable. Hint: Put the center of the patient's foot at the origin of the xy-plane. Pulley F₂ x F₁ (Give your answer to one decimal place. Use symbolic notation and fractions where needed.) Flension N

For a 2D problem in the x-y plane, select the three equations that satisfy the static equilibrium: a) ∑??=0 b) ∑??=0 c) ∑??=0 c) ∑??=0

A pulley is attached to one end of a rough plank, which makes an angle of 34° with the horizontal. A box is held at rest on the plank by a string that is attached to the box and passes over the pulley. A bucket of water is attached to the other end of the string and hangs freely. The coefficient of static friction between the plank and the box is 0.8. The box remains at rest but is on the point of slipping up the plank. The bucket of water has mass 7.5 kg. pulley box bucket of water 34° Model the box and the bucket of water as particles, the string as a model string and the pulley as a model pulley. (a) By considering the forces acting on the bucket of water, find the magnitude of the tension in the string (in newtons) in terms of g and the magnitude of the acceleration due to gravity (in ms-2). (b) State the four forces that act on the box and draw a force diagram showing them, including the angles that show their directions. (c) Take the unit vector i to be in the direction up the…

A snowboarder and his board with a combined mass of 50.0 kg moving at 9.50 m/s are about to go up an incline of angle 34.9 degrees, but due to friction only make it up a vertical height of 2.00 m. What was the coefficient of friction?

Problem 9:   A horizontal force, F1 = 95 N, and a force, F2 = 19.7 N acting at an angle of θ to the horizontal, are applied to a block of mass m = 2.1 kg. The coefficient of kinetic friction between the block and the surface is μk = 0.2. The block is moving to the right. Part (a)  Solve numerically for the magnitude of the normal force, FN in Newtons, that acts on the block if θ = 30°.  Part (b)  Solve numerically for the magnitude of acceleration of the block, a in m/s2, if θ = 30°.

Chapter S2, Problem S2/074 GO Tutorial Determine the height h above the base B at which the resultant of the three forces acts. 670 lb 21" 21" 21" Answer: h = (206 B 250 lb 300 lb in.

The figure below shows an initially stationary block of mass m on a floor. A force of magnitude F = 0.450mg is then applied at upward angle 0 = 21°. (a) What is the magnitude of the acceleration of the block across the floor if the friction coefficients are µu, = 0.595 and uk = 0.490? m/s? (b) What is the magnitude of the acceleration of the block across the floor if the friction coefficients are us = 0.405 and uy = 0.290? m/s?

You are using a modified block and tackle pulley system to lift a concrete block. You need to lift the concrete block (mass=200kg) a distance of 5 meters upward. The system is designed to reduce the force loaded by a factor of 4. How much rope must you pull down on the other side of the pulley to lift the block the proper distance?