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Review

Review. Topics to study. basic kinematics forces & free-body diagrams circular motion center of mass energy + conservation + conservative forces statics linear + angular momentum, impulse + conservation rotational energy, rolling objects torque, power, work

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Review

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  1. Review Physics 1D03 - Lecture 35

  2. Topics to study • basic kinematics • forces & free-body diagrams • circular motion • center of mass • energy + conservation + conservative forces • statics • linear + angular momentum, impulse + conservation • rotational energy, rolling objects • torque, power, work • SHM, x=Acos(ωt+φ), know the graphs (signs of x,v,a) No integrals or integration ! Physics 1D03 - Lecture 35

  3. MC1) Two cars are traveling down a straight road. The statement that one car passes the other car can be tested by solving for: A) The time t, at which one car has a velocity greater than the other B) The position x, at which one car has a velocity greater than the other C) The time t, at which both cars have the some position x D) The position x, at which one car has a greater acceleration than the other. Physics 1D03 - Lecture 35

  4. Axis of rotation MC2) Four particles, each of mass m, are placed at the corners of a square of side a. They are joined by massless and rigid rods. The square is rotated about an axis through one corner, and perpendicular to the page. The moment of inertia about this axis will be: A) 5ma2 B) 4ma2 C) 3ma2 D) 2ma2 E) 1ma2 Physics 1D03 - Lecture 35

  5. M θ Dynamics The incline has an angle θ=30o and coefficient of kinetic friction μk=0.1. If m=1kg and M=5kg, draw a FBD and determine the acceleration of the system, and its speed when it moves 0.5m. m Physics 1D03 - Lecture 35

  6. P M θ Dynamics A block of mass M is pushed up an incline with a horizontal force of P. If the incline has an angle of θ, determine the normal force. Physics 1D03 - Lecture 35

  7. Momentum (Linear): Momentum, p=mv, is conserved in all collisions (energy does not have to be conserved). So: pi=pf You can use a diagram and geometry to help you decide on the sign, or simply use equations. Momentum can be broken up into components. m2 v1i m1 Physics 1D03 - Lecture 35

  8. High-speed stroboscopic photographs show that the head of a golf club of mass 200 grams is traveling at 55 m/s just before it strikes a 46-gram golf ball at rest on a tee. After the collision, the club head travels (in the same direction) at 40 m/s. a) Find the speed of the golf ball just after impact.b) If the collision lasted 0.03 second, what average force did the ball experience? Momentum – Impulse Physics 1D03 - Lecture 35

  9. Angular MomentumA particle of mass 0.4kg is attached to the 100 cm mark of a meter stick of mass 0.1kg. The meter stick rotates on a horizontal frictionless table with ω=4rad/s. Calculate the angular momentum of the system if the stick is pivoted about an axis:a) perpendicular to the table and through the 50 cm markb) perpendicular to the table and through the 0 cm mark Physics 1D03 - Lecture 35

  10. Center of Mass A uniform piece of sheet metal is shaped as shown below. Compute the x and y coords of the center of mass. Physics 1D03 - Lecture 35

  11. A 10,000 N shark is supported by a cable attached to a 4.0 m rod that can pivot around the base. Calculate the cable tension needed to hold the system in position as shown. Find the horizontal and vertical forces exerted on the base of the rod. Statics Physics 1D03 - Lecture 35

  12. A 4m length of nylon cord is wound around a solid cylinder of radius 0.5m and 1.0kg mass. The cylinder is mounted on a frictionless axle and is initially at rest. The cord is pulled with a=2.5m/s2. a) how much work has been done on the cylinder if it reaches ω=8 rad/sb) how long will it take the spool to reach ω=8 rad/s?c) Is there enough cord on the cylinder to reach this ω? Rigid Bodies/Work Physics 1D03 - Lecture 35

  13. I,m d θ Rotational Energy & Conservation of E Determine the velocity of an object with a moment of inertia I and mass m and radius R rolling down an incline for a distance d. * Know how mass distribution affects inertia Physics 1D03 - Lecture 35

  14. in radians/sec ! SHM: Remember, * Know how to convert revolutions to radians (2π/rev)* Know how to determine the phase constant, or use * x,v,a equations to solve for A, phase, or ω. Physics 1D03 - Lecture 35

  15. A 0.5 kg mass attached to a spring of k=8 N/m oscillates with SHM with an amplitude of 10 cm, starting at x=0. Calculate: • the maximum value for the speed and acceleration • the speed and acceleration when the mass is at x=6cm from equilibrium • the time it takes the mass to move from x=0 cm to x=8 cm SHM Physics 1D03 - Lecture 35

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