Concept explainers
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
- A 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_forwardy (m) 2 intervals. The Figure shows the result of a collision of a 10.00 kg ball with an object located at the origin. The position of the objects are shown at 1.3 s -2 06 يه ® © ® Ⓡ • 0 x (m) + 2 What is the mass of the object that was originally located at the origin? What is the change in the kinetic energy as a result of the collision?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_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_forwardAn automobile P is traveling along a circular track of radius R=958.4 m. At position "A" on the track, the automobile has a speed of UA = 10.3 m/s. At this position, the driver of the automobile applies the brakes causing the speed of the automobile to change with distance s traveled along the track according to the following equation: U(S) = VA COS(0.001s) m/s (cos is in radians), where s is given in meters. Determine the magnitude of the acceleration for the driver when the automobile reaches position "B" on the track where "B" is a quarter of the distance around the track from position "A". R B O circular trackarrow_forwardA 64 Ib object stretches a spring 4 ft in equilibrium. The object is initially displaced 18 inches above equilibrium and given a downward velocity of 4 ft/sec. Equation of motion is d(t) = A cos wnt + B sin wnt. Use 32 ft/sec2 as gravitational accelerationarrow_forward
- 3. A particle of mass m is at rest at the end of the spring (force constant k) hanging from a fixed support. At t=0, a constant downward force F is applied to the mass and acts for a time to. Show that after the force is removed, the displacement of the mass from its equilibrium position (x=xo, where x is down) is F -[cos @, (t-t,)- cos w,t] k x- X, where w = k / m.arrow_forwardQ2. Refers to Figure 2, at halftime of a football game souvenir balls are thrown to the spectators with a velocity vo. Determine the range of values vo of if the balls are to land between points B and C. Given that a = 7.1 m, b = 10 m and c = lc = 9 m. 1-4 ст B b m 40° 35° 2 m 1.5 m a m Figure 2arrow_forwardExercise 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_forward
- Q6. 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_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_forwardNewton's Third Law states that: A particle remains at rest or continues to move with a uniform velocity if there is no unbalanced force acting on it. The acceleration of a particle is proportional to the vector sum of forces acting on it, and is in the direction of this vector sum. The forces of action and reaction between interacting bodies are equal in magnitude, opposite in direction, and collinear. The velocity of a particle is proportional to the vector sum of forces acting on it, and is in the direction of this vector sum.arrow_forward
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