6. For the following system of objects find out the acceleration and tension. M₁ = 3.0kg m₂ = 1.0kg m MK = 0.5 M2 £60° 30° m2=2.019 MK = 0.3 a=> m₁ = 2.0kg a = ? T= 7 1
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- 2. Force vectors are given by equations F1 = 5i + 7j - 6k (kN) and F2 = -10k (kN). What is the direction of the resultant measured from the positive x-axis? Express your answer in unit of degrees.e = 0, + wot +at? S = Or w = wo + at v = wr w? = w; + 2a(0 – 0.) atan = ar, a. %3D Tcom - (m,F + m2; + mz73 + .·) 1= E¡m;r? Mtotal An ultracentrifuge accelerates from rest to 9.93 x 10° rpm in 1.87 min. What is its angular acceleration in radians per second squared? angular acceleration: rad/s? What is the tangential acceleration of a point 8.90 cm from the axis of rotation? tangential acceleration: m/s? What is the radial acceleration in meters per second squared and in multiples of g of this point at full revolutions per minute? radial acceleration: m/s? radial acceleration in multiples of g:1. Compute the resultant force and its direction for the two forces shown in Fig. Q1. Z |F₁ = 300N 45° X 60° 120% 45° Fig. Q1 60° |F₂| = 500N y
- 1. If the body starts from rest at A and slides 200 ft down the 30° incline, how far will it then move along the other incline? What will be the velocity when it returns to B? Coeff fr= 0.20. A с 100 lb 200' 30° B A 3 S4. The position of an object in three dimensions as a function of time is given by Ť = (at? + bt)î + ct²} + dk Where i, j and k are the unit vectors in the x, y and z directions respectively. The parameters take the following values: a = 2.36 m/s? b = - 1.21 m/s c = 5.82 m/s? d = - 4.48 m a) What is the speed of the object at times t= 2.66s? b) Find the time when the instantaneous acceleration a and the instantaneous velocity v vectors are orthogonal.Q5. Rewrite these vectors to fix the notation errors: d = 4.2 [W] km т v = 11.2–(E) S m à = [down] 4.7 I
- PROBLEM 15 18. A crate slides down an inclined plane without friction. If it is released from rest and reaches a speed of 6 m/s after sliding a distance of 2.5 m, what is the angle of inclination of the plane with respect to the horizontal? a. 43.22° b. 41.22° c. 45.22° d. 47.22°3:34 PM | 0.0KB/s L O M 48 A bartleby.com = bartleby Q&A Engineering / Mechanical Engineeri... / Q&A Library / T... The Ferris wheel is rotating with a const... The Ferris wheel is rotating with a constant angular velocity w. What is the direction of the acceleration of point A? a. → b. ↑ C. v d. < e. The acceleration is zero.The Moon's mass is 7.35 1022 kg, and it moves in a nearly circular orbit with radius 3.84 108 m. The period of its motion is 27.3 days. Use this, information to determine the Moon's (a) orbital speed and (b) its acceleration.
- 2. Consider the vectors shown. Which is correct statement about A + B? В (15.0 m) A. x-component > 0, y-component > 0 D (10.0 m) 30.0° B. x-component > 0, y-component 0 25.0° D. x-component 0 C (12.0 m) A (8.00 m)F = 20 N O = 60° !! uk = 0.1 !! / M1 = 8 kg %3D Find the acceleration2. Object's mass = 2 kg, F1 = 10 Newton, F2 = 1 Newton. The magnitude and direction of the acceleration is AF1 F2 60°