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A brass (nonmagnetic) block A and a steel magnet B are in equilibrium in a brass tube under the magnetic repelling force of another steel magnet C located at a distance
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Vector Mechanics for Engineers: Dynamics
- A constant force acting on a particle can be expressed in Cartesian vector form as F = 8i - 6j + 2k lb. Determine the work done by the force on the particle if the displacement of the particle can be expressed in Cartesian vector form ass= Si + 4j + 6k ft.arrow_forward2. A mass of 2 kg is placed on a bar at a distance of r = 1 m from the point 0. Initially, the bar is in a stationary state, as shown in the figure below. At t = 0, the bar starts a counter clockwise rotation around the point O at a constant angular acceleration of 1 rad/s?. It is known that the mass can stop on the bar without sliding until 0 = 30°. Based on these givens, please answer the following questions. a. What is the static friction coefficient between the mass and the bar? b. When the sliding starts, will the mass be moving towards the origin or away from the origin? 1 rad/s? 2 kg r = 1marrow_forwardA spring with a spring constant k of 20 pounds per foot is loaded with a 10-pound weight and allowed to reach equilibrium. It is then displaced 1 foot downward and released. If the weight experiences a retarding force in pounds equal to four times the velocity at every point, find the equation of motion. y(t) = where t is time (in seconds) and y(t) is displacement (in feet).arrow_forward
- The 20-kg block is subjected to the action of the harmonic force F = (90 cos 6t) N, where t is in seconds. (Figure 1) Figure k= 400 N/m k = 400 N/m O 20 kg F= 90 cos 6t 125 N.s/m 1 of 1 Part A Write the equation which describes the steady-state motion. Express your answer in terms of t. Express your answer using three significant figures. Express the phase in radians and the final result in meters. x = Submit 17 ΑΣΦ Provide Feedback ↓↑ Request Answer vec ? m Next >arrow_forwardQ2. The acceleration function of an object doing curvilinear motion is a = {(-C.t) i+2j+1.5 k} m/s², where Cis a constant and t is the time in s. If the constant C is 0.4, and the initial velocity vo = 8.2 i m/s at time t = 0, and initial position is at the origin, determine the magnitude of its velocity when t = 2 s. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. Your Answer: Answer unitsarrow_forwardA point charge q1 = +5.00 micro Coulomb is held fixed in space. From a horizontal distance of 6.00 cm, a small sphere with mass 4.00 x 10-3 kg and charge q2 = +2.00 micro Coulomb is fired toward the fixed charge with an initial speed of 40.0 m/s. Gravity can be neglected. What is the acceleration (in m/s2) of the sphere at the instant when its speed is 25.0 m/s?arrow_forward
- Exercise 2.3.17 Sarah has attached a resistance cable to her foot to give her leg a workout. Let r be the length of cable from the spool to Sarah's foot and 0 be the angle the cable makes with the ground. At a certain instant, the cable is 2 ft long and is angled at 15°, and Sarah's foot has a velocity and acceleration of v = (4.33i + 2.5j) ft/s and a = (0.87i+ 0.5j) ft/s?, respectively. Calculate r,r,0,and Ö at this instant.arrow_forwardTwo masses m₁ = 4.6kg and m2 = 10.5kg are attached to the ends of a massless string passing through a massless pulley as shown in the figure below. If the system is released from rest, determine the magnitude of the acceleration of the blocks. Take g = 9.81m/s² and express your answer using one decimal place in units of m/s². u Answer: |M₂arrow_forwardThe 20-kg block is subjected to the action of the harmonic force F = (90 cos 6t) N, where t is in seconds. (Figure 1) Figure k-400 N/m Sw 20 kg k=400 N/m 00 F-90 cos 6r c-125 N-s/m < 1 of 1 Part A Write the equation which describes the steady-state motion. Express your answer in terms of t. Express your answer using three significant figures. Express the phase radians and the final result in meters. ΠΙΑΣΦ 4 ? marrow_forward
- QUESTION 11 A small box of mass m is placed on top of a larger box of mass 2m as shown in Figure. When a force is applied to the large box, both boxes accelerate to the right with the same acceleration. If the coefficient of friction (static/kinetic) between all surfaces is u, what would be the magnitude of the force and what would be the acceleration ? m F 2m O 1.3m( µ+ g), g O 2.3µmg, µg O 3. 6umg, µg O 4. The information given in the problem is insufficient.arrow_forwardQ6. In the image shown below, the 6.0-kg collar is connected to a spring with unstretched length of 4.9 m, and spring constant k = 12 N/m. According to the provided datum line, determine the total potential energy of the collar. Negative sign must be included if the energy is negative. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. Take g = 9.81 m/s². 6 m Datum 8 m Your Answer: Answer units karrow_forward4. A concrete weight of 125 kg is released from standstill and a log of mass 200 kg is moved along an inclined area of 30° to the horizontal.When the concrete weight is moved down 5 m, find that 1. What is the speed of the log? 2. What is the movement time of the concrete drum?arrow_forward
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