help please s is D and the string makes an A) Find the sesion in the string B) F

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help please

s is D and the string makes an A) Find the sesion in the string B) Find the angular velocity of the man. " C) Find the tangential speed of the mas m 4.95 rads ) 3.64 ms D) Find the angular monsentum of the b) 1.19 c) 1.98, d) 3.93 string is pulled until r shrinks to half its initial value, find the new valve y of the speed. b)6.86 m/s c8.40 m's d 7.27ms A car and a motoreycle start from the southen end of a circular racetrack of radius r. The car's speed is A) How long after they start will they first meet? B) Through what angle 0 fin radians) will the motoreycle have traveled? C) when they meet what will be the angular velocity (in rad s) of the car, o eg, te and the angular acceleration of the motorcycle isa. Iet r-85 m, v, b) 7.50s, )10.9s, d 12.9 s b) 1.79 2.76 d) 0.28 c) 0357, ) 0.800 35 ms, and = 0030 rads, a) 0.412 b) 0.3, D) When they meet what will be the angular velocity (in rad/s) of the motorcycle ? b) 0.328, c) 0.258. d) 0.075 when they meet find the magnitude of the total acceleration (in ms) of the motorcycle. a) 0.57, E) b) 4.88, c)9.47, d) 22.4

Explanation / Answer

3. given mass = m

radius = r

distance of string from topp of cone = D

angle = theta

m = 0.7 kg

D = 0.9 m

theta = 30 deg

a. tension in the string = T

from force balance

Tsin(theta) = mg

T = mg/sin(30) = 13.734 N

option b)

b. angular speed = w

w^2r = Tcos(theta)

r = Dcos(theta)

3.9064 rad/s

hecne option c)

c. tangential speed = w*r = w*D*cos(theta) = 3.0447 m/s

option d)

d. for half the value of r

w becomes sqroot(2) times

hence

v becomes 2.1529 m/s

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