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The function y=8 sin⁡2x is a solution of...

The function `y=8 sin⁡2x` is a solution of the differential equation `(d^2y)/dx^2+4y=0`.
a) True
b) False
c) none of these

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
`m=60kg`
Ladder length = 6.5m
Height of the wall =6m

Therefore torque due to the weight of the body
a. `tau=600xx6.5/2sintheta`
`rarr tau=600x6.52xxsqrt((1-cos^2theta))`
`rarr tau=600xx(6.5/2)xx(sqrt{1-(6/6.5)}^2)`
`rarr tau=70N-m`
b. `R_2=mg`
`=60xx9.8`
`R_1=muR_2`
`rarr 6.5R_1costheta=60g sin thetaxx(6.5/2)`
`rarr R_1=1/26tantheta`
`=1/260x(2.5/6)`
`[because tan theta =/]`
`rarr R_1=(2/5)g`
`rarr R_1=122.5N`
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