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- Classwork for PHYS220-A-Ali Sabbah-SP2021 Beirut Sec-A Beirut (MW 09:30-10:45) google.com/u/0/w/Mjc5NTQzMDc5NTgz/t/all PHYS220 Spring/20-21 Practice Sheet-1 Keys 1) A0.1 kg object oscillates as a s At a position X,, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of oscíllation, A, is: (a) 0.12 m (b) 0.22 m aple harmonic motion along the x -axis with a frequency f 3.185 Hz. (c) 0.31 m (d)0.42 m EJE theThe small particle of mass (800 gm) spinning with angular velocity (w₁ = 2.3 rad/s, at r₁ = 400 mm), if we use force (F) to change the Angular velocity to (w₂, and r₂ = 250 mm) the value of F is: W1 Select one: A. None B. F = 5.63 N C. F = 9.47 N D. F = 3.52 N Fis a mass hanging by a spring under the influence of gravity. The force due to gravity, Fg, is acting in the negative-y direction. The dynamic variable is y. On the left, the system is shown without spring deflection. On the right, at the beginning of an experiment, the mass is pushed upward (positive-y direction) by an amount y₁. The gravitational constant g, is 9.81 m/s². DO C.D Frontly у Your tasks: No Deflection m k Fg = mg Initial Condition y m k Write down an expression for the total energy If as the sum Write down an expression for the total energy H Fg = mg Figure 3: System schematic for Problem 4. Yi & X Write down, in terms of the variables given, the total potential energy stored in the system when it is held in the initial condition, relative to the system with no deflection. as the sum of potential and kinetic energy in terms of y, y, yi C After the system is released, it will start to move. Write down an expression for the kinetic energy of the system, T, in terms of…
- 2- find the center of mass, the velocity of the center of mass, the momentum, and the kinetic energy of the following system: do f(xd) xaf] m₁ = 1 kg T₁=1+2j+3 k v₁ = 2î+3ĵ m₂ = 1 kg T₂ = 1-j+ k v₂ = 2) + 3k1 An object of mass 125 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling the object down, a buoyancy force of times the weight of the object is pushing the object up (weight = mg). If we assume that water 40 resistance exerts a force on the object that is proportional to the velocity of the object, with proportionality constant 10 N-sec/m, find the equation of motion of the object. After how many seconds will the velocity of the object be 90 m/sec? Assume that the acceleration due to gravity is 9.81 m/ sec2. Find the equation of motion of the object. X(t) = %3DAn object attached to a spring undergoes simple harmonic motion modeled by the differential equation d²x = 0 where x (t) is the displacement of the mass (relative to equilibrium) at time t, m is the mass of the object, and k is the spring constant. A mass of 3 kilograms stretches the spring 0.2 meters. dt² Use this information to find the spring constant. (Use g = 9.8 meters/second²) m k = + kx The previous mass is detached from the spring and a mass of 17 kilograms is attached. This mass is displaced 0.45 meters below equilibrium and then launched with an initial velocity of 2 meters/second. Write the equation of motion in the form x(t) = c₁ cos(wt) + c₂ sin(wt). Do not leave unknown constants in your equation. x(t) = Rewrite the equation of motion in the form ä(t) = A sin(wt + ), where 0 ≤ ¢ < 2π. Do not leave unknown constants in your equation. x(t) =
- A four-bar mechanism is used to transmit power to slider E. Link AC rotates counterclockwise at 100 rpm. A and B are fixed points. The following linkages are measured in cm: AC=35, AB=70, CD=45, BD=45, DE=40. Find the instantaneous velocity of slider E in cm/s 1.Draw the mechanism in appropriate scale on your paper2. Find the instantaneous linear velocity of C3. Find a point on your paper to draw the velocity polygon and scale the magnitude of the computed linearvelocity4. Use the relative velocity equation for finding the linearvelocity of D; ? = ? + ?? ? ?/?5. Remember that although the magnitudes are unknown, their directions can be identified6. Obtain the magnitudes of the unknown velocities from the velocity polygon7. For Link DE, repeat the process by using ? = ? + ??the line as much as needed8. Remember that E is a SLIDER therefore it can only goin the direction where its movement is not constrained? . Add the vector ? to the head of ? and extend?/? ?/??The complete slide- back and forth motion of a single reciprocating compressor piston completes in a 2-sec period. The volume displacement of the piston though the piston cylinder is 8,902.63 in3. The stiffness of crank is said to be equal to 65.5N/m and the mass of the said piston is at 10kgs. Obtain the following 1. Plot the graph of the following relationship: A) Position vs Time graph B) Velocity vs Time C) Acceleration vs Time1:19 P N{ l 100% I A docs.google.com A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and is set to oscillate on a friction-less horizontal surface. At time t = 0 its position is xO = 0 and its velocity is vo = +5 m/s. If the displacement is a cosine function, x(t)=A cos(wt+p), then which answer is correct about the oscillation amplitude A and the phase constant,p,: A = 0.25 m, and p = - T/2 A = 0.5 m, p = 0 A = 0.5 m, and p = r/2 A = 0.5 m, p = -T/2 A = 0.25 m, and p = t/2 Other: A body oscillates with simple harmonic frictionless motion along the x-axis. Its displacement varies ith time according to x(t)=0.5 cos(Tt). The ues of the velocity (in m/s) and acceleration (in m/s^2) of the 8 II
- Dtes 6) Take a look at the picture below. Initially the system is at rest. The spring is activated and sends the mass moving with tangential speed "v" and the disk rotating with angular velocity "w". Find expressions for these parameters in terms of the variables given. Final I nitind At Rest Dişk Rolutes Sprivag: compressx a mass と szring Cons & ingetid velocty muss Rotafiond ふnertiu ofDkull JAWWAL ? 6:20 PM @ 50% A moodle.najah.edu МOODLE Recent - For the following system, answer the following assuming each tension in cable = 10 kN 1) Express tensions in Cartesian coordinate system 2) Find moment due to both cables and weight of door= 1 kN about point A 3) Find moment due to both cables and weight of door= 1 kN about z-axis 960 mm 450 mm 90 mm 675 mm B 90 mm 690 mm 270 mm Fig. P4.113 II(Q-4) Balance the meter stick with two weights and a rock. 0 cm 100 cm Jrock 100g position (cm) weight (gwt) lever arm (cm) torque (gwt cm) Rock 10.60 XXXXXX XXXXXXXX Weight 1 구군, 60 150 cw Weight 2 93.5 100 (Q-5) Assume that the torques balance and use this fact to calculate the weight of the rock. Z Tecw Złcw = Wrack