Ch 05: Friction, Inclines, SystemsWorksheetSee all chapters
All Chapters
Ch 01: Units & Vectors
Ch 02: 1D Motion (Kinematics)
Ch 03: 2D Motion (Projectile Motion)
Ch 04: Intro to Forces (Dynamics)
Ch 05: Friction, Inclines, Systems
Ch 06: Centripetal Forces & Gravitation
Ch 07: Work & Energy
Ch 08: Conservation of Energy
Ch 09: Momentum & Impulse
Ch 10: Rotational Kinematics
Ch 11: Rotational Inertia & Energy
Ch 12: Torque & Rotational Dynamics
Ch 13: Rotational Equilibrium
Ch 14: Angular Momentum
Ch 15: Periodic Motion (NEW)
Ch 15: Periodic Motion (Oscillations)
Ch 16: Waves & Sound
Ch 17: Fluid Mechanics
Ch 18: Heat and Temperature
Ch 19: Kinetic Theory of Ideal Gasses
Ch 20: The First Law of Thermodynamics
Ch 21: The Second Law of Thermodynamics
Ch 22: Electric Force & Field; Gauss' Law
Ch 23: Electric Potential
Ch 24: Capacitors & Dielectrics
Ch 25: Resistors & DC Circuits
Ch 26: Magnetic Fields and Forces
Ch 27: Sources of Magnetic Field
Ch 28: Induction and Inductance
Ch 29: Alternating Current
Ch 30: Electromagnetic Waves
Ch 31: Geometric Optics
Ch 32: Wave Optics
Ch 34: Special Relativity
Ch 35: Particle-Wave Duality
Ch 36: Atomic Structure
Ch 37: Nuclear Physics
Ch 38: Quantum Mechanics

Concept #1: Intro to Inclined Planes

Example #1: Intro to Inclined Planes

Practice: A 10 kg block moves with 20 m/s when it reaches the bottom of a long, smooth inclined plane that makes 53o with the horizontal. How far up the plane will the block reach before switching directions?

Example #2: More Inclined Problems

Practice: If m1 = 10 kg, Θ1 = 37° and Θ2 = 53°, what must m2 be so that the system is at equilibrium?

Example #3: More Inclined Problems

Additional Problems
In the figure below, a ramp of mass M and incline angle θ is pushed with a force F. For what magnitude of F will the mass m not slide up or down the ramp?  
A block of mass m is on a frictionless plane inclined at θ with the horizontal and is pushed by a horizontal force F at a constant velocity up the plane. The acceleration of gravity is g . What is the magnitude of the normal force N the plane exerts on the block? 1. N = mg cos θ 2. N =F/ sin θ 3. N = F 4. N = mg 5. N = F tan θ 6. N = F sin θ 7. N =mg/ sin θ 8. N = mg tan θ 9. N =F/ cos θ 10. N = mg sin θ
Two blocks in contact are pushed up an inclined plane with a force 9mg, which is parallel to the plane. The force pushes on the lower block, which has mass 5m. The upper block has mass 4m. The plane is inclined at an angle θ with respect to the vertical. What is the magnitude of the force on the lower block exerted by the upper block? 1. 9mg 2. 5mg (1 − sin θ) 3. 5mg (1 − cos θ) 4. 4mg 5. 5mg cos θ 6. 5mg 7. 4mg cos θ 8. 4mg (1 − cos θ) 9. 4mg (1 − sin θ)
A block is pushed up a frictionless incline by an applied horizontal force as shown. The acceleration of gravity is 9.8 m/s2. What is the magnitude of the resulting acceleration of the block?1. 0.4082662. 0.01485183. 0.2631864. 0.4404885. 0.3608536. 0.2444767. 8.577648. 3.201979. 0.27327410. 2.00947
Three forces are exerted on an object placed on a tilted floor, as shown in the figure. Assuming the forces have magnitude F1 = 1N, F2 = 8N, F3 = 7 N, what is the component of the net force Fnet = F1 + F2 + F3  parallel to the floor?(Take the +i axis parallel to the plane and pointing downhill.)