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Summary for Time, Height and Range

a small spher...

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a small sphere of mass m is suspended by thread is first taken with vertical and then released thrn find the angle between threasd and vertical when total acceleration vector of sphere is directed horizontlly?

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Q. Find the angle

θ

between the thread and the vertical at the moment when the total acceleration vector of the sphere is directed horizontally.

500 g

is suspended by thread of length

50 c m

, ball is released when thread makes angle

60^{\circ}

. Find power delivered by thread's tension, when thread makes

30^{\circ}

Q. Two small spheres of masses

M_{1}

M_{2}

are suspended by weightless insulating threads of lengths

L_{1}

L_{2}

, the spheres carry charges

Q_{1}

Q_{2}

respectively. The spheres are suspended such that they are in level with another and the threads are inclined to the vertical at angles of

θ_{1}

θ_{2}

as shown, which one of the following conditions is essential, if

θ_{1} = θ_{2} :

Q. A small sphere of mass

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and having charge

0.5 m C

is suspended by a thread between the plates of a parallel plate capacitor as shown in the figure. What potential difference ( in volt) between the plates (separation

20 c m

) should be applied so that the thread makes an angle of

45^{0}

with the vertical?

Q. Two small spheres each having mass

m k g

q

coulomb are suspended from a point by insulating threads each I metre long but but of negligible mass. If

θ

is the angle, each thread makes with the vertical when equilibrium has been attained, show that

q^{2} = (4 m g l^{2} {sin}^{2} θ tan θ) 4 π ε_{0}

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